{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "45a709f0",
   "metadata": {},
   "source": [
    "***一、向量是多维空间中的对象***\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60cfb98d",
   "metadata": {},
   "source": [
    "***二、二维世界中需要使用两个信息来描述其具体位置***\n",
    "1. 水平位置\n",
    "2. 垂直位置\n",
    "\n",
    "***三、为了描述点在二维平面中的位置，还需要一个参考点：原点***\n",
    "\n",
    "***四、二维向量是平面上相对于原点的一个点***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "960c72d7",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9106a8bb",
   "metadata": {},
   "source": [
    "### 2.1.1 如何表示二维向量"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec9ea999",
   "metadata": {},
   "source": [
    "***1. 以原点为坐标轴的0点，建立一个(x,y)坐标轴***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5e08e20f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vector_drawing import *\n",
    "dino_vectors = [(6,4),(3,1),(1,2),(-1,5),(-2,5),(-3,4),(-4,4),(-5,3),(-5,2),(-2,2),(-5,1),(-4,0),(-2,1),(-1,0),(0,-3),(-1,-4),(1,-4),(2,-3),(1,-2),(3,-1),(5,1)]\n",
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Segment((6,4),(3,1)),\n",
    "    Segment((3,1),(1,2)),\n",
    "    Segment((1,2),(-1,5)),\n",
    "    Segment((-1,5),(-2,5)),\n",
    "    Segment((-2,5),(-3,4)),\n",
    "    Segment((-3,4),(-4,4)),\n",
    "    Segment((-4,4),(-5,3)),\n",
    "    Segment((-5,3),(-5,2)),\n",
    "    Segment((-5,2),(-2,2)),\n",
    "    Segment((-2,2),(-5,1)),\n",
    "    Segment((-5,1),(-4,0)),\n",
    "    Segment((-4,0),(-2,1)),\n",
    "    Segment((-2,1),(-1,0)),\n",
    "    Segment((-1,0),(0,-3)),\n",
    "    Segment((0,-3),(-1,-4)),\n",
    "    Segment((-1,-4),(1,-4)),\n",
    "    Segment((1,-4),(2,-3)),\n",
    "    Segment((2,-3),(1,-2)),\n",
    "    Segment((1,-2),(3,-1)),\n",
    "    Segment((3,-1),(5,1)),\n",
    "    Segment((5,1),(6,4))\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01d8772b",
   "metadata": {},
   "source": [
    "***练习2.2 在平面上画出点(2,-2)和与之对应的箭头***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e880c549",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*[(2,-2)]),\n",
    "    Arrow((2,-2))\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13e67fc0",
   "metadata": {},
   "source": [
    "***类型2.4 构建一个以dino_vectors为顶点的Polygon对象，画出将每个点相连的恐龙图像***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "48a385ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Polygon(*dino_vectors)\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ccce670",
   "metadata": {},
   "source": [
    "#### 练习2.5：当X坐标在-10到10的范围内时，使用draw函数绘制表示向量(x, x**2)的点。\n",
    "\n",
    "***以下代码解释***\n",
    "\n",
    "当执行 (x, x\\*\\*2) for x in range(-10, 11) 这个表达式时，它使用了列表推导式的语法。列表推导式是一种简洁的方式，用于在Python中创建列表。\n",
    "在这个表达式中，我们使用了 for 循环来迭代 range(-10, 11) 这个范围内的每个元素，即从 -10 到 10。对于每个迭代的元素 x，我们创建了一个包含两个元素的元组 (x, x\\*\\*2)。其中，第一个元素是 x，第二个元素是 x 的平方 x\\*\\*2。\n",
    "通过这个列表推导式，我们生成了一个包含所有坐标对的列表。每个坐标对由 x 和 x 的平方组成。因此，最终的列表将包含从 (-10, 100) 到 (10, 100) 的所有坐标对。\n",
    "在示例代码中，我们将生成的坐标对列表存储在 coordinates 变量中，并使用 print() 函数将其打印输出。输出结果是一个包含所有坐标对的列表，每个坐标对由一个元组表示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "12b5b139",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*[(x,x**2) for x in range(-10,11)]),\n",
    "    grid = (1,10),\n",
    "    nice_aspect_ratio = False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ec24eaf",
   "metadata": {},
   "source": [
    "### 2.2 平面向量运算"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "841b564c",
   "metadata": {},
   "source": [
    "***2.2.1 向量加法***\n",
    "1. ($x_1$ , $y_1$) + ($x_2$ , $y_2$) = ($x_1$ + $x_2$ ,  $y_1$ + $y_2$)\n",
    "2. 原向量添加新向量，意味着移动或平移一个现有的点或点的集合。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e4af4b5a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vectors import *\n",
    "dino_vectors2 = [add((-1.5,-2.5),v) for v in dino_vectors]\n",
    "draw(\n",
    "    Points(*dino_vectors, color = blue),\n",
    "    Polygon(*dino_vectors, color = blue),\n",
    "    Points(*dino_vectors2, color = red),\n",
    "    Polygon(*dino_vectors2, color = red)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8204138a",
   "metadata": {},
   "source": [
    "***2.2.2 向量的分量和长度***\n",
    "1. 分量：是将向量分成(x , 0) + (0 , y)的形式。这样做在现实中有重要意义，因为人不可能一直走直线，需要拐弯。\n",
    "2. 长度: 是x或者y相对原点到它表示的距离。\n",
    "3. 可以利用勾股定理计算未分量时的向量长度：$c^2 = x^2 + y^2$,$c = \\sqrt{x^2 + y^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5a46bef6",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sqrt\n",
    "# 勾股定理技术\n",
    "def length(v):\n",
    "    return sqrt(v[0]**2 + v[1]**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "99b754e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*[(4,3)]),\n",
    "    Arrow((4,3)),\n",
    "    Arrow((4,0)),\n",
    "    Arrow((4,3),(4,0))\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80ca9886",
   "metadata": {},
   "source": [
    "***2.2.4 向量与数相乘***\n",
    "\n",
    "1. 向量乘以数的运算称为标量乘法。\n",
    "2. 处理向量时，普通的数通常称为标量(Scalar)。\n",
    "3. 运算的效果是将向量按给定的系数进行缩放(scale)。\n",
    "4. 像图片缩放。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4fa6c544",
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiply(v,m):\n",
    "    draw(\n",
    "    Points(*[(v[0]*m,v[1]*m)]),\n",
    "    Points(*[v]),\n",
    "    Arrow(v),\n",
    "    Arrow((v[0]*m,v[1]*m))\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "75171d87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x436.364 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "multiply((6,4),-(1/2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f0f8db7",
   "metadata": {},
   "source": [
    "***2.2.3 减法、位移和距离***\n",
    "1. 对于任一向量u,负向量-v具有相同的长度，但指向相反的方向。\n",
    "2. x-y = x+(-y)\n",
    "3. 位移是一个向量，距离是一个标量(数)\n",
    "4. 两个向量之间的差是位移\n",
    "5. 两个向量之间的差的长度是距离，就是三角形的斜边"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e18af670",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x428.571 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# u = (-1,3)  w = (2,2)  v - w = (-3,1)\n",
    "draw(\n",
    "    Points((2,2),(-1,3),(-3,1)),\n",
    "    Arrow((-1,3),(2,2)),\n",
    "    Arrow((-1,3)),\n",
    "    Arrow((-3,1)),\n",
    "    Arrow((2,2))\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84670457",
   "metadata": {},
   "source": [
    "***练习2.7 通过将所有向量各自的x坐标和y坐标相加，可以实现任意数量的向量相加。例如，向量和(1, 2) + (2, 4) + (3, 6) + (4, 8)有x分量1 + 2 + 3 + 4 = 10与y分量2 + 4 + 6 + 8 = 20，结果为(10, 20)。实现新的add函数，接收任意多个向量作为参数。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dfac66a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def addnew(*datas):\n",
    "    return (sum(v[0] for v in datas),sum(v[0] for v in datas))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "42968e11",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 10)\n"
     ]
    }
   ],
   "source": [
    "print(addnew((1,2),(2,4),(3,6),(4,8)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd2806e8",
   "metadata": {},
   "source": [
    "***练习2.8 实现函数translate(translation, vectors)，接收一个平移向量和一个向量列表，返回一个根据平移向量平移后的向量列表。例如，对于translate ((1,1), [(0,0), (0,1,), (-3,-3)]) ，它应该返回[(1,1), (1,2), (-2, -2)]。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cc2ff94d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def translate(translation, vectors):\n",
    "    return [(v[0]+translation[0] , v[1]+translation[1]) for v in vectors]\n",
    "#return [add(translation,v) for v in vectors]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "17c5f077",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 1), (1, 2), (-2, -2)]\n"
     ]
    }
   ],
   "source": [
    "print(translate((1,1),[(0,0), (0,1,), (-3,-3)]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee1fc9da",
   "metadata": {},
   "source": [
    "***练习2.9（小项目）：向量之和u+w与w+u结果相同。用坐标形式的向量和的定义来解释其原因。同时，用图像来说明为什么这在几何上是成立的。***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f1c9dca",
   "metadata": {},
   "source": [
    "解: 设 u=(a,b) 和w=(c,d).其中a,b,c,d都是实数。u+w = (a+c , b+d),w+u = (c + d , d + b).根据 x-y = x+(-y)证明，实数的加减没有顺序区别，\n",
    "    所以u+w=w+u."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea48bc6e",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-2.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f98c084",
   "metadata": {},
   "source": [
    "***练习2.10 在下图所示的三个箭头向量（标为v、u和w）中，哪一对的和对应的箭头最长？哪一对的和对应的箭头最短？***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fda9018",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-3.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a79f0f5",
   "metadata": {},
   "source": [
    "使用首尾加法测量，使用勾股定理求最长最短。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35cd6047",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-4.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "824dad61",
   "metadata": {},
   "source": [
    "***练习2.11（小项目）：实现一个处理向量加法的Python函数，显示100个相互不重叠的恐龙图像。这体现了计算机图形学的威力。想象一下，手绘2100个坐标对是一件多么乏味的事情！***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a4ad9d59",
   "metadata": {},
   "outputs": [],
   "source": [
    "def hundred_dinos():\n",
    "    translations = [(12*x,10*y) for x in range(-5,5) for y in range(-5,5)]\n",
    "    dinos = [Polygon(*translate(t,dino_vectors),color=blue) for t in translations]   \n",
    "    draw(*dinos, grid=None, axes=None, origin=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e61c433a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x499.16 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hundred_dinos()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9976776",
   "metadata": {},
   "source": [
    "***练习2.15：dino_vectors列表中哪个向量的长度最长？用我们实现的length函数快速计算出答案。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b8d6c35d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6, 4)\n"
     ]
    }
   ],
   "source": [
    "print(max(dino_vectors,key = length))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3496d307",
   "metadata": {},
   "source": [
    "***练习2.17：写一个Python函数scale(s,v)，将输入向量u和输入标量s相乘。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a38d8655",
   "metadata": {},
   "outputs": [],
   "source": [
    "def scale(s,v):\n",
    "    return (s*v[0],s*v[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "908b75be",
   "metadata": {},
   "source": [
    "***练习2.18（小项目）：用代数方法证明，将坐标按照一个系数缩放，会将向量的长度以同等系数缩放。假设一个长度为c的向量坐标为O。证明，对于任意非负实数s，(s\\*a , s\\*b)的长度是s\\*c。（s不能是负值，因为向量的长度不可能为负。）(代数方法证明：计算)***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "beb33ba1",
   "metadata": {},
   "source": [
    "解：用符号|(a,b)|来表示向量(a,b)的长度，从题目可知：c = $ \\sqrt{x^2 + y^2}$ = |(a,b)|\n",
    "   计算(sa,sb)的长度：(sa,sb) =$ \\sqrt{(sa)^2 + (sb)^2}$ = $\\sqrt{(s)^2 (a^2 + b^2)}$ = |s| * $\\sqrt{a^2 + b^2}$ = |s| * c\n",
    "   又因 s不能是负值，所以|s|=s,缩放后的长度为sc"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e621469",
   "metadata": {},
   "source": [
    "***练习2.19（小项目）：假定z = (-1,1)和u=(1,1)，而r和s是实数，并且假设-3<r<3且-1<s<1。在平面上，向量r\\*z + s\\*u可能的终点是哪里？请注意，向量的运算顺序和数的运算顺序一致。我们假设先进行标量乘法，然后进行向量加法（除非有括号）。***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67e1db17",
   "metadata": {},
   "source": [
    "解：取(1)r=-3 , s =-1。(2)r=-3,s=1。(3)r=3 ,s =-1。(4)r=3,s=1。四种情况，代入计算得到：(2,-4),(4,-2),(-4,2),(-2,4)这四个角的范围"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2d8dd159",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/B7/+9a9N2ZclzCcvLw/Hjx/Ho48+ipdffjlqlet0OrFgwQJTrnPZZZepHsOT7uh2u+MUsxHUPCQOhwPPP/88FixYoNsDYWVhJoIgCL1YGjNA0cX2w+l04qtf/SpuvvnmuP0mUZEZiS3ghafIUF9fH5xOp6mBdqKHJLb/gVIcgBZEg6OgoCBc4VDEaGEmgiAIvVBvAkISsSDOnj17wj0KeGILePj4449VjzFzb13qXpSILEDEEwegFbnCTD6fz1BhJoIgCL1Q10IijsOHD2Pt2rVRUe9+vx81NTWKK+fVq1ejoqJCdXye/XAje+uCIOC3v/1tuMXxzp07Ze9FCp4OjUaJbNd86tQpfPDBB9iwYQMuueQSU69DEATBAxkDoxg9Sq2pqUmyII7YmEhcuYqKLHJsAHj++edl3fsOhwN+v59rP1xtS0JuLClDRu1eIufp2LFjcfegZjzoRQw8HB4exmuvvUZbAwRBJA0yBkYpjY2Ncat3l8uF4uJiPPjgg5KKRxAElJaWSo4n1gkoKSlBbm5uWJHFXvPChQuyMjHGUFhYyKX09OytyxkySvci3rNSfEKs8WAlifBKEARBxEIxA6MQuZS8/v5+VFRUYOrUqVGth0Xa29tVC+LI1QkQr6lWynfr1q2S15ZCaW+9srISg4OD4RgAJUNG6V6WLVumGqgo1aHRCpqampCVlYX58+djxYoVmD9/PrKysrjniyAIQi9kDIwyeFLy+vr6UFBQEKdk9Abtae16qEWpxgbzib0rKioqohTm448/rquzIS96CiZp4fDhwygsLIwzTESvBBkEBEFYCRkDowyelDzgc+UWq5R5g/aOHTum65ridbUqVXFLYty4caisrJRUmDyBi2ZgRWVAQRCwa9cu2TLOjDEUFxdTi2OCICyDjIFRhhZlFauUs7Oz41zyUlRUVEStVPUoSK3nKHkfrK55EIkVlQHffPNN1e2Vjo4OPP7446ZfmyAIAiBjYNShVVlFKmWn08nVyjgy+E7PNfWco8X7oIaWmgiR51hVGZDXMIo1wgiCIMyCjIFRRnZ2NrxeL/fxsUp5yZIlKCwsVDwn1tXPU9NfRK9S3b9/v6bjlfD7/WhoaNAkM2BdZUAthpHVQYwEQaQnZAyMMpxOJ3cjKLfbLamUY5sVySGuaJUqE0aiV6kKgoDdu3dzHy/F8uXLo6oJFhQUcMkM/L1DoVVphXPnzoXL5eI61sogRoIg0hcyBkYhubm5XMfde++9kkp5ypQpXOdHrmjl0gAj0atU29vb0dvbq+mcWA4dOoRly5ZFdRWUk9nv9yMYDFpSilgKp9OJm266ift4am9MEITZUNGhUYjotlfaY3e73XjwwQclP5s1axZ8Ph+6urpkg/OkXP2xlQnF7oQff/yxoQI6Zig/cUUdWyhJrppiogv9aNkqoPbGBEGYDRkDo5DI6n2AdLT9zp07ZRWeGEioFDsgV0lQqjKhUWJTGfUiZ1RYIbPWSoK83hiv10vtjQmCMB3aJhhliB36BgcHUVlZGbf/HwgEEAqFVN3eS5YswYYNG2Q/37JlCxoaGkyRWYnGxkbTaggkakXd2NgYV0nwsssuwyOPPCIb/Cd6Y9R45plnqDwxQRCmQ56BUYRUPwJx/3vmzJmaXOCCIGDPnj2KxxQVFcHhcIQ9EGYj1hYwSmxTIyvr/zc0NGDZsmVx74uloJ988kns3LkzzhiL9MbIbc2UlZXpmmvqd0AQhBrkGRglyPUj6OzsRGVlJcaNGxcVPKfGm2++qZrXLwgCli5danruu+jdkKo2qJXYDAapVbtZ9f/37duHoqIixWPkSkEDn3tj9u3bB7/fH/W+1+tFfX09Nm/erFkmK++XIIjRAxkDowCe6nxa89O1BO2Zmfseqbwee+wxw+NFZjAoGUxG6/83NjZi6dKlXPMgVQpaJLYXQ2trK7q7u7F06VJdMll1vwRBjC7IGBgFqFXn09MPQMv+ulm573LKSy9VVVXhtEA1g4kxhjVr1uDAgQOaDRs92xlKcyYGNBYVFWny5kjJZKaBSBDE6IWMgRRDdJHv2bMnqj1v7HuR6O02qMTcuXPj3NVmjS2F1s6HPLz//vtob28P75mrGRl9fX1YuHChZje63lLJVtYLsMJAJAhi9EIBhCmEVACg2+0GgKhGNi6XC8XFxXjwwQfhdDq5V/Fyx0UGmHm9XgiCEE5PzM/PNzS20rUig9nM7D0g8vTTT+Ppp5+G3+/XFHgnutF5CyTpVepqc2Yk8M8KA5EgiFEMS2HOnj3LALDe3t5ki6KZoaEh9uqrr7KhoSGu40OhEHM4HAwA98vtdrNQKMRGRkaY3++XPd/hcLBAIMBGRkYkr+v3++PG3bt3L2OMsfr6euZ0OmVlkBt7ZGSEtba2straWtba2spGRkYkr+X3+1koFGK1tbWa7l3LS+u8qs1ZLK2trYbGlnpWlOaKB16ZWltbucaTw+fzMQDM5/MZGifRaP37TCXsKrtd5WbMvrKLOvTs2bOqx5IxYBFaHh5RmetVdKFQKGxMxCo+8T0pJaJkgESe09DQIHuM1NhyBobSGMFg0DJjQLyOklFjRFmqGWNqcxb7rMh9L0rfpVaZYg0SKeONBzIGEo9dZber3IzZV3YyBlIALQ+P1pVl7Ev8UZdSwoFAQFJ5qBkgscqCd2w9Hg6HwyFrLCgp1LKyMl1GlBb5ysvLuRSknDEm9V3Fzlnks6L1e1GC10A04oUgYyDx2FV2u8rNmH1lJ2MgBdDy8JjhIhdXsLwrPK1u5JGREdbS0sLKy8tZeXk5a2lpkdwa0Ovh0Gr8iIpKvN9169ZxnVtSUqJbRjUFKadUg8Gg4vcR+ayY7d5XM+KMeiHIGEg8dpXdrnIzZl/ZtRgDFECYAphRJjeynTBPnX0tAWZSgY3PPfccnnnmmaj8dyuCACMpLy/HggULogLpIu/36aefVh0jNzcXW7duRVtbG5YtW4b+/n7u68cGFsYG+OXm5hpuesT7vYRCIQBQHV+pEZNa+qHD4UBJSQlyc3OpYiFBjHLIGEgBxC6DnZ2dulPrtBoUvMcfO3YMlZWVcXL19vZi2bJlKCsrC1fGszoyfdasWbKGTnZ2Nnw+Hzo7OyU/jyxJ7HQ6sWDBAjz//POKzZxiiVSQFy9exPr16+NKP9fU1Bhqd8z7vYiZEj6fD2vWrFEsNy1nIGpJPzS7kRNBEKkF1RlIAcQ0Pr1E1t3nRTRAxHK9sYjK8/nnn1dUlFu2bMG+ffsAWN8IyOPxyH4m1vYHEHdPsSWJRfLy8rBv3z6uBkEiooJcunSpJZX91L6XWDo7O1FRUaGr1DClHxIEIULGQIqQl5eHyspKXedeuHAB+/fvVz0usnhRe3u7rPIUufPOO7nc/nfffTcEQdCsyLRSVFQUp+gi78nlcqGsrCyuU2NkSeJYYsv/lpeX65aP/a2SoZHKfpGGoZ551GKQaPEOEQQxyrEqcMEMRnMAoVSgn95AQp5gL7ngNqmIfI/Hw/bs2cPKy8s1BzDyRtXrfalFwbvdbrZnzx5daXKMGc/siJ0Pvc+K1L1pmSOejAPelEilZ4sCCBOPXWW3q9yM2Vd2yiZIAZQeHqWocyNKUqmwkFLEeENDQ1h5Njc3s7KysvCPPO+rtrZW8f7MNAYCgQBraGhQVGLBYFCTESCipWaA0mv37t2GnxWtmRJ6DJJQKGTo2SJjIPHYVXa7ys2YfWXXYgzQNkGCUWs17Ha7dbmHmUyteZ4GPevXr0d2djaKiorQ39+PLVu2yAbiyXHZZZeF/190vbe0tMDlcmm+FyXE+7z77rsVYxkqKipwxRVXRLnL1Xo8AH930yuNzUNPT4+h80VZcnJyuEtCx8Kz15+Xl4dgMKh4jNyzRRDE6IGMgQTC00lO/H+9++6xXfd40v06Ojrw+OOPQxAElJaW6rru7bffHqV4nU4nnE6nptQ9LfAo287OTuTn5+ORRx5BfX09MjMzMX/+fF3Bdlrxer2mjaU3FoM3JmDmzJlcx2k1EAmCsA9kDCQQnlSuvr4+BIPBuAh3XuXy2GOPRSk53kjwiooKPP7447p/8Lu6uuIC17RGoQeDQVOVqEhFRQWWL18eZ0B0dHTEyaynHbEUWjIU1NAaVOhwOBAIBGQzTGI9JJFeHSXWr19vmfFEEERyIWMggfAqx5kzZ0ZFuLe2tqKjo4N7dRgZUa4l3e/JJ5/kPjYW0bMRGUmv5dp+vx8PPvggOjo6FFMIHQ6HqQYDi4n+N6NwkpIi1gtvGqRcGqVIY2MjsrKyojwkd9xxB9f2VG9vr+HUSYIgUhNLjYEnnngC3/rWtzBx4kRcdtlluOWWW/DnP//ZykumNFpaDYv7xUVFRcjJycHYsWO5V4eRivmGG26A3+/num5km2Q9xO4tZ2dnKyr2SO688044nU6MHTsWO3bsgMPhkK0X8LOf/Yz7nniIlNloTr3D4ZBVxEaJTYMMBoNx86CURqkUr9LX16caJyFl8BEEMTqw1Bg4ePAg1q5diyNHjqC5uRkjIyO48cYbce7cOSsvm7LwFPpRWlVqKZIjKuZDhw5pKmg0ZcoU7mPliCyNfOutt3KdMzw8HFYwcvcpKjqn04kLFy4YllNKZl6DTUoRBwIBWUUcCU8goxyRRuLDDz8c50E6ceKE5PV54lUmTJiASZMmKV6fggkJYpRiah6DCh9//DEDwA4ePMh1/GhMLdTTajiWkZER7hoAYsofb9riww8/HJYnVj6e8xGT0qYlbz+2EZBULQY9XRG1yKyl9a9cUyilZlFSaZc+n49t3LjR0rQls+onxD5XlFqYeOwqu13lZsy+sqdso6KzZ88CgGy62eDgIAYHB8P/HhgYAPD5qnF4eNh6AU1ElDdW7sWLF6Ourg6lpaVRwXo+nw/btm3D4sWLue513rx5eOyxx1SP83q9GB4exv3334+dO3cq1u73+XzYsGEDBgcHsXv37jj5tmzZgg0bNqCrq0tyhSmOMXv27PBKf2hoCFOmTMGZM2dUZRVjHerq6rBkyRIAwLe//W0An69sDxw4gNWrVxtO+4vlS1/6Ej744AO0tLRg7ty52LZtGwoLC+FwOKKuJXp0tm7diosXL0bJBwAXL15EKBSS/G5XrVqFM2fO4Kmnnoq7fldXFzZt2oSvfe1r4V4JZnPq1ClTxxOfK3F+GGO2+huV+/u0A3aV3a5yA/aVXYu8Dmb2L6sMjDHk5ubizJkzsi7GyspKyZzn2tpajB8/3moRE4ogCDh69CjOnDmDKVOmYNasWZr2mQVBwJo1axT3+T0eD3bs2BEe9/Dhw9i0aZPs8Rs3bsScOXMU5eMd4/Dhw9i1a5euOITJkyfj+eefx9ixY8Ny6x1LK263G6tXrwaAuGt6PB6sWrUqPEexqM2NGrH3bSbvvfceHnroIVPGinyuVq1ahb6+PrhcLqxfv17380wQhPmcP38eK1aswNmzZ1W3ABNmDKxduxb/8R//gTfffFM2+EvKMxAIBNDd3Q23250IMU1jeHgYzc3NWLRoEcaMGWPJNZqamlBYWAgAkivYyBV25DmxK1e/349t27ZhyZIlXHKrjSHKZeTR8ng8+NnPfgYAhsfSQuTc/eAHP8Cbb74Zbv07d+5cWQUnCAJmzJhhOBdfvO/Y780oonxyXh0epJ6rrKwsdHV1ISMjI+wtAT73hmzfvt30+zCLRPx9WoVdZber3IB9ZR8YGIDH4+EyBhISM7Bu3Trm9/vZX/7yF03njcaYAbOR2oMOBAKKsQdKe9o8co+MjLCWlhZWXl7OysvLWUtLS9R+uZmliN1utynjZGRkaDre7/cnpacBoNwLwAhG+0ZIPVcul0v2Hqy6DzOw6x4wY/aV3a5yM2Zf2VOmN8HFixfZ2rVr2bRp09j/+3//T/P5ZAzwoaTctaImt1xfBfFH3+xANTNewWCQDQ4OstbWVlZSUqLpPF70NpmSU6Q8jYa0MjIywoLBoKwCl3pVVVXJPlcjIyOKRpZV92EGdv1xZ8y+sttVbsbsK3vKBBCuXbsWtbW12L9/PyZOnIiPPvoIwOd7o5deeqmVl04rxHQzqxHz1FmMm1kM/Nu3b1/UNk+yCQQCqK6uDqfaZWdn47bbbuM+v6KiAl/5yldUUwUBbQWW1GAR6Xtmfa+NjY0oLi6OqjEQGyAZicPhgN/vxz333CO7NdLe3h61NRCLFfdBEIQ1WFpn4Nlnn8XZs2eRk5ODzMzM8Gvv3r1WXpawAJ6GR3fddRd3kSGr8Xg82LZtW5Qi11NdkLfAjt7+AUoYLYAkIldsSMkQAP5exVCuLgKvfGbdB0EQ1mGpZ0Dux4awHzyKtKenB0VFRXC73ejv75dNPxSDDdeuXWtKdz8p+vr6sHz5cvzf//t/MXPmTGRmZuoK7uNd2Yr9AwoKChRX3Foww9ugZMSJiApfxO/3hz0qUh4Fv9+PmpoabvlOnz4NQRAou4AgUpiE1hkg7Avv6i4yFU8uT7+6uhq5ubmYPHkyCgoK8Omnn0qO5XA44HK5wp0PtShY8diKiorwe3q9Frz3LlZOvOuuuwwZOaLBZEZ/Ax4jThAEVFVVYerUqcjMzER2djacTqfqtlB9fX1cFoEU69evx7Zt21BTU8O15UIQROKhRkUEF1pWqQ6HA263W7acMPB5StpNN92kaAgAwM6dO2VLE//rv/6rlltAb2+vpuNFtNx7Xl4eqqqquI+X67+gpb+BUnljXkNm6tSp4T4YoqdArXxxaWkpvvSlL3GNH9k8iyCI1IOMAQLA3xVKXV0d3nvvvbh9ci174uxvrZhfeumluLr5ACT3r2OJbLgT26CntbUVJ0+exKJFi3TfL+/evp4OhLzti6VaVSs1GpJCqgthZAtrLc2xIuFpt33q1ClkZHz+EyL+V+l4gJocEUTKYm4ig7lQamFikKuXH5sjrrUvwO7du6PO56lBMGnSJPbTn/40qnaBHEbSGL1eL9dxZWVlmudTa3+D5uZmVlpaypqbmzWl4cl9H5E5/iMjI+H+AWqyRLJ7926u+ZkyZQoDwKZNm8aqqqq4zonsXZEs7PT3GYtdZber3IzZV3YtqYXkGUhz5CLNu7q64ty64p641+vlGrukpCTqfJ7964GBAfyv//W/sHDhwqgVrhRGIvirqqrQ0tIi2ydDpK6uTvNKVgwmBNS3AZxOJ+bNm4d//ud/xrx58zRtDdx7772KbvySkhI0NTXhr3/9q+QYclsSjY2NKCkp4ZJDPM/hcGDq1Klc51B2AUGkHmQMpDE8+8Kxbt28vDx0dHRwBeP19vZGGRRalUBnZyfy8/PxyCOPSO6HKyldNXw+H5xOZzg4UQ697XrV2jAbDaR7/PHHFbMj2N/c+EuXLpXt6eByueJkEY1DtfgKsd12ZB8FvVsSBEEkHzIG0hjefeFYZTh27Fjs2LEDDoeDSwmLBoVWJcAiMgKk9sMBeaUrh6jEsrOzLc+Tl4p1OHHihGFDoLGxMSpLQi+XXnopcnNzw//mSUMEoj0Kkd+/mqcmcu4JgkgtyBhIY4woQ1EJq3kIIg2K7Oxsww2npKLSRaXb3NyM0tJSPPzwwwDUXfRGVrJKEfyRiNUhIyP1jSAqbDPo6OiIMvR4izJ5PB5Z78add94pW18C0JYlQRBE4iBjII0x6tbVkkZn1j6x3PZF5N57eXk5QqGQqote70pWLYLfSvRUUVRi//79kv+vRFVVVZwhcOHCBWRlZcl6LMzaHiEIwhqo6FAaIyrDzs5OxWqBSm5dXvd8ZmYm2tvbZfevtcA4at7n5eUhNzcX7e3t4RbEYjEdEaWqgUrBdWr9GaxUeGYH31VXV4e/3+rqaq5zpL7z/v5+2fiLYDCIBx98kMsjIAiC4ndGEIQ1kGcgjdES9S6HltW12YpMbTweF7243TFt2rSo930+X5xi1xNwaTZWBN8VFxfj3nvv5To21lPCE1+wa9currGT6XEhiHSHjIE0Ry4AT0oZSqHFoDBbkZk5Hk8gpN6ASzOxoiFSR0cHd9+GWONwaGhI8XjeOZFLcaXKhQSRGMgYGGXwBrZFEhn1/vLLL+PRRx/FsWPHuN3dvGl0ZikyM6PStSihRHTpU/v+jKRTGqWgoACDg4NRcvF6QZTmJBU8LgSR7lDMwChCqcMczwo/JycHw8PDeO211zTv05q1R19ZWYmZM2fi2LFjqKysBACuvXw9qCkhh8OBkpIS5ObmavJsHDt2TPW6bW1taGtrAwDMnTsXgiCgqakJ9913n+r3l5ubi8rKStTU1KjWSTCTffv2hXtLiHLxfgdKc6fF46LWPZIgCJ2YVfbQCqgcMT88pWkZ+7xUbmtrK6utrWWtra1xZWgTIbdU+eNAICBZ/pjnOL2yB4NBTeVz1coMR865nIyhUIi53e64cy655BLZsSLHk5oTl8vF8vPzdZVldjgczO/3M5/Pp6nUtCjXhAkTVI+VKnccSW1tLdc1a2trub5XHuxaXpYx+8puV7kZs6/sWsoRk2dgFMC7whUEAaWlpbo8B2ZGefN4EQCE2xyLK+icnBxTcvUBbYV7RBe36NnIz89XPSfSoxB5Tblz5UoGx35/y5cvj/uez5w5g1AoxHUvkYheFnHbQcpjI4d4zGeffaZ67LZt2xS/M6pcSBApgKVmiUHIM8CHkYY9sStPKbmlVqN+v1929WsGeq7JO+c8DZMiX7GNdfR4FFpaWpjL5dL9PQFgHo9H8XOn06m4unc6nXEr9sj5lJpzM15qjYm0NHYyC7uu9Bizr+x2lZsx+8pOjYrSDCMBa0wlQCsZUd5WX1NL4R6pQMWZM2dyndvd3R1Ol1u4cKHh/X21fgGCIIQ9CZGIZaP37NmjWBo5tnxyeXm5IXlFeFJAjaa4EgRhDDIGRgFG3adMIv1LEAQcOHBAtrysmhGhl0RElmsxnqSUkJZAQimjxkpKSkpkszqWLl2qWnchsjbDggULTJGJZ76sbuxEEIQyZAyMAsxK2RPL0R4+fBgzZsxQXc1KGRFGSUQuP68yDwaDkkqIp9CS3+/Hzp07ufbf1XA4HNxto3Nzc01rjmT0udKaAmpVYyeCINQhY2AUwONm5aG6uhoPPPAANm3axF2EBjC3RG4icvlFJafGrFmzJN/nme8777xT0xzKIY73zDPPqCpmUfGa1RxJ7T4dDgcmTJigKLdW977ZjZ0IguCDjIFRgpKbtaGhgUv5AX+PLNeC2kpbSyGkRESWO51ObN++XfW40tJSWVnV3Nq8cQWxxHZ1FMcrKChQ/W4KCwtNV55q9zl58mQAQEZGhuTntKonCHtAqYWjCKWUvYyMDK6UOC178TyNjLQWQtLaPCky5dHr9XLLz+N2N9IMSUyH5GXixInYtWsX8vPzZVMu8/LysGHDBmzZskVyjK1bt2L27NmmK2Cp+7zhhhtw6NAhnD9/HgBw+eWXo6ysDO+//z6mT5+Ou+++G2PHjjVVDoIgLMSqlAYzoNRCcykpKTEtXSw2JVEK3kJIcufFnstTgMftdrO9e/eqzoXVhW54ChRNnDiR/fSnP2W//vWvWSgUkn1WxEJRu3fvVkwvtCIFTwqeFESrU0+Nkop/n7zYVXa7ys2YfWXXklpIxoBFpOLDY6QeQexLqRIgY+q5/GqKS636oJyhIY6tpoh450ItR14JOaNGfNXX1zPGlJ8VPbn/RmTmvSczjMVkkop/n7zYVXa7ys2YfWWnOgOEJDzR4Wp7zi6XCy0tLapR3m1tbYayApQiy5XSD0XU0g95ggiNNkOS228XKS0tVayZIFdvQQ2zW0WL8My7CKMGQwRhK8gYSCN4osOLi4sVx3j++eexYMECRaOhsbERy5Yt45JJSXHJRZabkX7odDpRVFSkKJsZAXl5eXmoqqqS/EwsotTU1BT3mRbFG4tVZXu1FGsC+L4HKfR03iQIwhhkDKQZatHh119/vaHxxdUsb7U9PYrLjPRDQRCwZ88exfPr6uoMKyJBELB+/XrJz0RFf99998VdR6viBcxt7SyFXo+DlvPEio3z58/HihUrMH/+fGRlZXFXnSRDgiD0QcZAGiLngs/NzUVpaanseZENc6QYGhrC//yf/5NrNWtEcZmRfsijbM0oqMTjxejo6MDRo0ej3teqeBNRtlevx+Gyyy7jOs5oGWqjhgRBpDNkDKQpUi749vZ2xUI5Sm7fxsZG+P1+1fr5kehVXLxFg3p6emQ/M7u4kdyKlPf8M2fORP1bq+JNRF6/WZUupTBahlrOkOjo6EB+fj4aGhpMl5kgRhNkDBBh9CpI8YdYSflG4na7DSkup9Mpuw8fiZT7XcTM4kZKK1Le60yZMiXq3zwlj71eL3bv3p2wsr1KMSdKfPzxx6rHGIkD4YmvKCoqwr59+/gEJog0hIwBIoweBakn0G3v3r2aFVfsyjtWeUqh5ObnUbY82xhqru2enh6uPgaxpY95Sh4/99xzWLlyZULL9qplSEjB81wZ8dTwbPkIgoClS5fSlgFByEDGABFWtJ2dnfB4PIrHer1e3HDDDeF/aw108/v9shX95JBaeRvNVjCjbS6Pa/u+++4LezHkrrNt2zbJ66RqJz8x5qSlpUXRQ6AlLsSIp0ZLfAWlOhKENGQMpDmRivbWW29V3fPv6enB9OnTwyssrYFud955p6ZVrNzK24xsBaPKlte17fF4FK+zZMkSRRlTsZOf0+nEggULZD00WgMajXhqtMRXmN1lkyBGC9SbII0RFa3WXHbRBb5v3z7NgW4zZ86M6icQW38/EiO59jx9EwDl/gJqaHFtFxUVyV5neHhY8Xwx2DMVufTSSwF83qjo4sWL4ff9fj+qq6u5jRbRU1NQUACHwxH1nasZFqIhweuhsqooE0HYGUuNgTfeeANbtmzB73//e3R3d6OpqQm33HKLlZckOFFTtGIRosgfeBHGWDjN8Pjx45p+iI8dO4asrCyuxkV6cu1F2QH+ValeZavVtZ3KSt0ol19+OV555RXNBlUkoqdGqrGVkmEhGhI8jbgA64oyEYSdsXSb4Ny5c/ja176Gp59+2srLEDrgcXFLGQKRn586dQqHDh1CTU2NanS5w+GA2+1GZWUlVx65IAg4cOAA1724XK6of/t8voTsqZsVhDgacDgcktUitaJ3WyQvLw/19fWK102n74MgtGKpZ+C73/0uvvvd71p5CUInZrlKRRf4vn37sGbNGvT19cUdE+n2lQu2Ez0Nubm52L9/f9zqUAlRCZw6dQoffPABNmzYgEsuuYT7HsQASrHtcE5ODpdCM+LaJuTR60FZunQpHA4Hli5dGvdZ7PehZOgSRDqSUjEDg4ODGBwcDP97YGAAADA8PKy6r5pqiPKmqtxer9e0cYaHh7F48WJ0dHTgiSeewFNPPRVVRMfn8+FHP/oRHnnkEdlxRE/DI488gkcffZS7iqHP58O3v/3t8N57c3MzLl68KDvvgiDgzTffDLuze3t7sXbt2qiAxMceewwulwvPPvusYnAfACxevBh1dXUoLS2NKtjk8/mwbds2LF68WPUZSPVnRYlIIy8V5M/NzcXevXtVvw87z7ldZber3IB9Zdcir4Ppic7SgcPhUI0ZqKysRDAYjHu/trYW48ePt1C69EMQBNmVvEhsUFgsHo8HO3bsiFv5CoKAo0eP4syZM5gyZQpmzZqF9vZ2VFdXq8o1YcIEfPbZZ9z3sXHjRsyZM4fr2MOHD2PXrl2K96x1fPFe+/r6MDAwgEmTJsHtdmPWrFm29QhIfX9y97Jq1Sr09fXB7XbjhRdeSOi1EzEOQdiZ8+fPY8WKFTh79iwmTZqkeGxKGQNSnoFAIIDu7m643e4ESGke4ip10aJFGDNmTLLFkaSpqQmFhYUA4t33DocD69evD+fIS7nA6+rqVFfO4nXWrl2rqVSxGn6/H9u2bYu6vtKci/eq9XH3+Xw4fvx4WJFEehaOHz+OF154IW4Fun37dq554ZE70TQ1NUmuquXuKSsrC11dXZg2bRref//9KK/L3LlzNSlgrdeOJNbjo3btVJpzrdhVdrvKDdhX9oGBAXg8Hi5jACxBAGBNTU2azjl79iwDwHp7e60RykKGhobYq6++yoaGhpItiiKhUIj5/X4GIPzyeDxs7969sp8HAgEWCoVUxx4ZGWHBYDDqXLmXw+Fgbreb69jy8nI2MjISdz25OR8ZGYm7By2v1tZW2bmQug+Hw8E1P2pyJ5pQKMQcDoeme/L5fAwAc7lccXPj8/lYMBhktbW1rLW1VfI7M3LtyHNjr+33+xXPSZU514NdZber3IzZV3ZRh549e1b1WDIGLMJOD8/IyAhrbW1ltbW1rLm5mYVCoSi5Iz9X+1EXCYVCYUXBYwg4HA5WUVGhSTnHynXhwgXJOW9tbdVtCABgtbW1sspK7n4CgQDXPDGWGs+KmsEkd0+837GSgtZ7bca0GxHiM/Pyyy+zRx99lF24cMHciUwAqfC86MGucjNmX9lTxhj49NNP2TvvvMPeeecdBoBt376dvfPOO+yDDz7gOp+MgcRjhtxaFCcA5vV6WVlZmapiiVQKUqtBn8/HNm7cGCd7bW2tIWOgpaVFl2dBNFoSMedG4TWYYu9p2rRp3PMhp6B5r11VVRVlkGo1IuSeGS1enFQgFZ4XPdhVbsbsK7sWY8DSbIK3334b8+fPD/+7tLQUAHD77bfjpZdesvLSRJLQUzWwqKgIW7duVTwnMjVs//79kpUTu7q6sGnTJlx77bVRvQuMFJkRWyXrKX5kp0p3ehsFDQ0NcV+DxaSQinv6vNdev359+P/9fj/uvPNO7k6H/f39ss+MWE0z2SWeCSKZWFp0KCcnB+xz70PUiwyB0YueqoG1tbWqxoPH40FxcTEmT56Me++9V7U5UGQzGrXiQErU1NRwteCVQjRCYjsupmKjHL2NgrTeS6SC1nrtSDo7O1FRUcF9rFJDKcYY7rrrLk2GDUGMNqhREWEqWlbDDocDXq+XK8ugp6cH1dXVWLhwYVS0uRQdHR1RykapQ6EcbrcboVAIeXl5upSVWOlOquPiFVdcgUceeSSljIOenh7VY6Sq9+lN14t8TvQYa1o8Tz09PaoGak9PD3w+H7U4JtIWMgYIU9GqOFeuXGmJHLFGiVyHwkAggPr6erS0tKC8vBzl5eVoaWnB6dOnw25jPcpq+/bt4e0MqfLLFRUVYeNgxowZOHz4sOZ7NMvjIAhCeAtPie3bt8cp/7Fjx+q6ZuRzosdY40EsP8xbYKu3tzeuLDZBpA1mByyYCQUQJh6jcotBXWoBhGJkudFIf7mXXPCenswIxrQHRWoJOhTHFdM5eeXRmk4nh97gQcaiswl45kctM0BvCmjstSODFbU8Y1ozQZJBuv62JBO7yq4lgJA8A4Sp8KzygsEgTp48iby8PEP7+XIotS4W695rbagjehZimyLJ0dbWxh07wWRiHeQQW0/zNHziQW/wYCQulyvO6xKLWr+G2CZFYsErNYLBYNy1I5tVaXnGWERMgx1iPQjCLMgYIExHySUfCoXw8MMPh5WBmS5i8fxt27ZZUnpW7IxnFbGxDlIoZWuI75WUlGhSXHqDByO59NJLoxR5MBgMZ2KI+P1+1aj9SGPtnnvu4eoKOWvWrLj5iPx35DPGy/79++NiPbKysmgLgRi9WOqjMAhtEyQeM+XW4pI34iIWX263O67OgN5tAaV7UtoGEd3MLS0tuu6htrZW8fpGXPpG70lq7sRtAp/PJzmu0bkXt2fktgHKysq4iw6FQiHm9Xp1P196qktaAf22JB67yp4yRYeMQsZA4kmm3JHKo6WlhXk8Hk0/1mIBGVF2M/fVI1FTUKFQiDt2QkqJKylR3gJKakaFnnuSQskYMAu5ktj19fWaKxcODg6qPldOp1PTmImGflsSj11lp5gBwpZEuogXLFiAZ599VtP5nZ2dOHr0KADz99UjkdsGiXSD69n+8Pv96O3tVXRPm+HSl4LnnngQBAEHDhzAQw89hIceeggHDhwwvNceG0vQ2tqKEydOwOv1chcdEhk7dix27Ngh+Z2I7ynJKzUmQYwKLDdNDECegcSTanKXlZVpWlmXlpayCxcu6K51rwUeNzhvcyNRdjWXtxGXvln3FEmkZyAUCkk2m3K73Zq9MTxyGPGS7N27N07WQCDASkpKLPG8mEmq/Y3yYle5GbOv7ClTjpggjLJ582Z861vfwurVqzEwMKB6/JQpU/Dmm29yrxhzcnJ0yyZ6MpTIy8tDbm4u2tvb0d3djWPHjmHnzp1xbXqLiopkKzGymDK+NTU1KCgogMPhkGwtLRetb9Y9SXHhwgXk5+dLftbX14f8/PxwESc1GhsbUVxcHPUd+v1+1NTURJ1vxEuyZMkSfOELX8CkSZPQ09ODzMxMZGdno729HdXV1brGJAg7Q9sERMqzdOlS9PT0qPbjdrvdmDVrFneqXCgUSkjKWOT2x1e+8pW4zy9evIiOjg7FyoqRBoxZLn0z+eSTT1SPKS4uVp1rLds7aimDYraBmGYamSp48OBBAMC8efOi0ky1jkkQowUyBghb4HQ6MWbMGK5jeVdtTz/9dEJTxkRFF6v0u7u7sWfPHq4xRENHbh89Wc12Ll68qHqMWuqk1rRJpbiMWC9JbFnoRYsWYc2aNWhqaoo6T8uYBDGaIGOAsAXt7e3o6+tTPKavrw9Hjx7F3LlzNRUyMiOoUA0eRcdDbBlfPQWUImVKdFEdJa+NWpMrJlEQaHBwEJWVlYpeEjlvQ19fHwoLC+O+91T0vBCE1VDMAGELeF3/Z86cCa/upPbVpYjdk7di1aenm2MkDodDsbKiVnj35c3msssuA/C5ISLGUWRmZuKGG27AgQMHuMbYv38/brvttijZp0yZgjvuuAMLFy6Ez+dDdnY2nE4nV0ttqe89NtZDjCkgjwAxWiFjgLAFvK7/KVOmAPj76i5W4ckRueoUA8l4lUCsYpM6Xms3R7MDAyMRV8qxClL0kOhZ/WZkZHBtFfz3f/83fvnLX+KVV16J6pQoKm4epAL8zpw5g5deegm/+MUvsHPnzvA8afE2xAZO6g2mJAg7QtsEhC3gCezy+/2YNWtW+L3IffV169ZxXUeqDG1mZibWr18v6UqXalEsFYNw7NgxrutL1dk30z1tRTlj4PNyxDzcd999qK6ujmuZzHM9h8Ohagz19fVFbfmY0XeBINIBMgYIW8AT2CXVk0Bc3cmlvcVSXV0dt5Ls6elBdXV1nKLnjXxvbGxEZWWl6rUzMjIwa9asqMDAlpYWvPjiixgcHDRlX1/LSlkLFy5cMCSXGqK3hOf+GWNhg8aqIk0EMdogY4CwDWqBXUuWLJE9l6dzHY8LvqOjAwUFBWhoaOBaYQ8NDanuWYtcvHgRy5Ytw/79+5GTk4Nx48aF98HNapZj9kpZNAJ4tgiM4Pf7UVJSwn185JaP1amC1N2QGA2QMUDYCr0pdTyeBS0/4mvXruVaYT/zzDOaAgfFVW1DQ4Ml5ZTNXCkLgsBVX8Ao5eXlOHHiBHJzczWd193dzVUW2kgshto2ERkKhG0wq+yhFVA54sRjV7kZ45NdrukNbxlara9169bpOk+pmY6RksNmljPm7aBo9CV2YBRl13qe3Pfu8XjY3r17Nc9h5JhK5aPLysosaZRl179Ru8rNmH1lp0ZFBCGDnGdB66qTl+nTp+s6r7e3V/YzZqBZjplFdRIRdBfpwo+UXQkp13/s997c3IwdO3Yobi0poRaIyRjDli1bLGmURRBWQMYAkXZIFevhiSmIxev1qu5F33333ZrH5YVXGYuu6ldeeQXV1dW4cOECKisrMW3atKjjPB4PiouL4XK5uNzZvFsOXq+X6zgpYg2TvLw8hEIhuN1uyeOVDJrI733evHmG0jT11o1gBjI2CMJKyBggCCivmGMRFf0zzzwjeXykQho7dizXajbyXF7lyaOMI/e0b731Vqxfvx633norKioq4HA4EAwGUVJSAq/XK5s1IUd2djYyMuR/QsR5euqpp7juJxKn04n6+nrJWJC8vDycPn0awWAQLpcr6rNEVQncv3+/7nONeHYIwjIs3bAwCMUMJB67ys2YObKrtRyObCcsd3wgEIjbF+ZtZexwOFhDQ4Mp+/pye9o8r9j7lMPlcqmerye2oKGhgev70tpyWcTIszIyMqIY08H70tsG2a5/o3aVmzH7yk4tjAlCJ3l5eRAEAXfffbfkvr3f78e2bdvgcrmwZ88eZGZm4v3338ehQ4cUKxBGlrft7OzEgQMHsH//fvT394eP8fl84XLAGRkZhtoU85ThVYJxlmgWiw3FViD0+/2orq5GXl4edxMm4PMYAfE8HpJRJbC9vV0xpoMXqm1ApBJkDBBEBI2NjVi+fLmsEl22bBlKS0sla/oXFRUpjh2puFauXBkuY3zq1Cl88MEH2LBhAy655BIA8uWUI5WsEkZ7IQBQLNUby+WXX45XXnlF0iDiVXp33HEHdu3alfL1/40GTprdZ4IgzICMAcL2xCrVm266ibvdcew4aqvpbdu2xb2nt6a/aBwMDw/jtddeU/QmaG2WY2akP89YDodD1mAQgzM7OzsV5/all17C4sWLVeeQpxeEWUhdy8iKntogE6kKBRAStiYyQO6HP/whHnroIcyYMUNX6lYqRojrbVNspgva6FhaUgLV5pC3F4QZyF2rt7cXfr9f15jUBplIVcgYIGyLXG+Arq4u1VxuqcpwRlbTjCNC3IxqdLxj6EmVjMWMUr0ieXl5qv0Z1OaQtxeEGShda9myZapbQiJutxstLS2aqmUSRDKgbQLClqgVfVEKfmtsbJTci//2t79tWC45g0LumnfeeSeuvPJKru0NuTHEoMNIxNV4QUEBl9xWt00GgJkzZ3IdJzWHRr5vrfBcq66uDvX19fjxj3+Mvr4+2bF27tyJBQsWGJKHIBIBeQYIW6K3+57ciq+jowN79+41LJeUS13pmhUVFVzbG3pWxWIQopxLOxAIIBQKIRQKWdo2WcRIXwSrui1KwXstr9cbrncwZcqUqGP8fj9CoRB5AQjbQJ4Bwpbo6b5nNN1OCbkIcS3XFLc3YpWwkVVxbEpjT08PvF4vfD5fVOCd3kBFJWKD72644QbFQEKlKHuzuy2aMYbYCOnhhx/Ggw8+mLCgRoKwAjIGCFuiZ5VpNN1u+fLlqK+vBwBul7qWa8opdi2rYjGiX2vEvdn5+nJbGkVFRdi6davmbQkzuy2aNUbkccmod0AQZkLbBIQt0dOn3uiqMTc3F/v27dPkUtd6TSl3t9ZVcSIj7qVQ2tLYunUrNmzYoGkOBUGAIAhxpYcjMTPYkSf40uv14vrrr7e8PTG1QCYSBXkGCFsSGSDHu8o0umrMzMxETk6OJpe63mtGGgBaVqqiIo51w+uthSDF2bNn8emnn0rGInzwwQe45557VIPveKo2AtIehljMDnZUerZEenp6MHHixCjlLBfMqRepe/d4PHjqqafClR8JwjSM1j7m4Wc/+xnLyspi48aNY9deey174403uM6j3gSJx25yS9X8l+sZPzIyoljzX+7F2wtACr3XbG1t1TSG0+lkdXV1qn0V9N6HyCeffMJmz57NrrrqKvbhhx8yn8/HADCfz8c+/PBDlpmZqfn+5ODtrSDVC0INnuecp59E7Pzy9HPgQe3eb7nlFtv8jYrY7bclErvKrqU3geXGQF1dHRszZgx7/vnn2dGjR1lxcTH74he/yD744APVc8kYSDx2lFtsVvPyyy+zRx99lF24cEH2WPFHllc5a/2Bl2qco+WacgrbSNMhPYpYjlOnTrGrrrqKAWBXXXUVu/zyyxkAdvnll4ff53mpNekRDSClMVwuF2tpadFl3PA+54ODg5qaEplhcPHcOwC2Z88e3ddIBnb8bRGxq+xajAHLYwa2b9+OVatWYfXq1finf/onVFdXIxAI4Nlnn7X60kSaIAZvFRYW4qtf/aqiq1hMt4vdsw4EAigrK4tzfWtJsZPbqwcgec1YlNzdeXl5qK+vN8UNbiR2wu/3o62tDVdddRX+8pe/oKenB8DnbvO//OUvpgX68QRe9vf3w+l0Whq1f+jQIU1NiZgJKY68Qaf33nsvxRAQpuFgzII8q78xNDSE8ePHo6GhAUuWLAm/X1xcjHfffRcHDx6MOn5wcBCDg4Phfw8MDCAQCODyyy+3XZoOYwyDg4MYN26coSpwicaucgPaZGeMYWhoCIIgwOl0YuzYseH9Yan31bhw4UJUB8JYXC4XLrnkkvDYIyMjOHfuXFSnP6fTicmTJ8vuBw8ODprSLc/j8WDcuHGGxhAEAT09PVHKyOl0wuPxoKenJ+q+YnE6nZg6darivJ4/fx5nzpxRleOLX/wivvSlL2mSHYh/VuS+d145YpkyZQrGjx+v+TyA/94Bc77LRJEuvy2pxMWLF9Hd3Y2zZ89i0qRJisdaGkDY29sLQRAwderUqPenTp2Kjz76KO74J554AsFgMO59qWMJwk4oGQoigiBwHWcUMwwKKQRBwOnTp7mO6+rqMuWa586dw7lz50wZy0zOnDmjy4jQilXfJZF+JCSbINaSYn+LKo7lJz/5CUpLS8P/Js9A4rGr3IC1sl+4cAGffPJJ1Io3IyMDX/rSl5CRkcH1oyy3iuOV2wzPgMvlMiUSXc4z4PV64XQ6JecrEnHu5GRhjOGjjz5S9DCI6Fkdi3POGFP16Cjdh9J5eufZ6ntPFvTbknhEzwAXZgYrxDI4OMicTidrbGyMev/ee+9l//zP/6x6PgUQJh67ys2YvOxSQX1aUAve+853vmMoaI53ztWyCsTgtYaGhrgAND0R93J8+OGH4WBBp9MZ9V8xy0CUNxgMKs5JWVmZ7HVKSkpMCUaUYmhoiIVCoXA2hNJ81tfXawo6FefbSBBhfX296jV8Ph9raWnR/VwnmtH425LqpEwA4dixY/HNb34Tzc3NUe83NzfjhhtusPLSBAHAeAEennLCv/71r7nGMrMVcOzqJDL4sKCgACdPnkRra6vp3fI6OjqQk5ODv/zlL7jqqqvg9XoBfF6ERwwqzMnJCQfAPfnkk4rjbdmyBfv27ZP8LDc3l0smvfN69OhRdHZ2yn7OInoQ8ASARmI0iHDp0qUoKytTPObChQtYuHBhUgpLEaMQqy0TMbXwhRdeYEePHmUlJSXsi1/8Ijt58qTqueQZSDx2lZuxeNnlVvRa0gVbW1u5V4NyL7V0M61zLpX/bubKXwm1OgNXXXUVmz17Nvvkk09YS0sL1/x4PB7JueH1hOhNLSwtLdXkeRA9TOvWrTPksdDiqWpoaGBerzdqXLfbLTsfZtU5sILR9NtiF7R4BiyPGVi+fDn6+vrwyCOPoLu7G1/5ylfw2muv4YorrrD60kQaY1bLW6MljK1oBRzZfIinCqJUwyCe6n9STJ48Gb/+9a8lKxAGAgEcPHgQEydOxOTJk9HW1sY1Zm9vb1RfBRE9VSa1ENtpUA7R8xDZf+Dpp5/mPi8SLW2oAaCgoABLliwJf3+XXXYZbr/9dsnraXmuCSKWhAQQ3n333bj77rsTcSmCAMDf3KetrQ1Op1NWMRp17fv9flRXV+ty0Ss1G+JtjCOlfJxOp6EyupMnT8bkyZMlP5Nrl6yGnNEl1oWQUqCR86q1MRPweYCyGlL9DsTeBWq1AMQaDCJ6S0VHftdtbW1cWxtSxhVBKGKli8IotE2QeOwqN2PRstfW1nK5cl0uV9S/Y0sZj4yMKAaZyb3WrVvHHdQlNedayizLwVu10Ih7edq0aQwAmzJlStz98m4TAGDl5eWK86XkWtczVxcuXJB1t0e+6uvrJc9vaGhQPVfcwhgZGWEtLS1xz1rsd8Cz5cH7XO/evdtQ0KwVjJbfFjuRUuWIjUDGQOKxq9yMRcuud68/VjGGQiEupRH70lLy14pYB96StlqVUSShUIhlZGTIKuGRkRHNc6emxGONgoaGBl1z1dzcbOh75H2+gsGgpu9B7bnhvW5sCWWthqQVjJbfFjtBxkAKYNeHx65yMxYtu94GQZGKUU7RmK1UpeQ2Or5eY4jXiOE1WEKhkOb5k1PiUh4AMaVR61y9/PLLXPLIBQHyrtC1vnh6NujxVKVCcOFo+W2xEymTWkgQyUIpDU8N9rd917vvvlsxpTAWM4LaeGMd1NLW9AY+8pynFpwJACUlJRAEAXl5eQiFQnC73VzXjz1fRNxvj50bpdr8SnNltIeC0VgSrdcTcTqd2Lp1q+Zx5eaVIETIGCBGLXJNiXgVU2wAmBpamhrJwavE1Y7Tq6ykzhMEAW1tbdizZw/a2trQ1tamyWDJy8vD6dOn0dLSgvLyctx6662KMsSez1PrQQmpuZo7dy7cbresoehwOCSDB0XEIEKzqtGpXS8Sj8ej6xq8hiSRniQkm4AgkoVUGp4gCFi4cKEp499222246aab4PP5ZCPYtUS6m9X1T1RWnZ2dXErU4XDA7/fHKSOpbASXy8UlY6QSdjqdWLBgARYsWIBXXnkFu3fv5j6ft4ufHFJz5XQ6sXr1amzevFlX2qJa2qNWw4Uxxu1RMpruavR8YnRCngFi1COmZhUVFSEnJwc5OTmKqzqHwxGurKfGv//7v+OBBx4It9ONRWsFRLUVJ+8KUss2iZzyk3PN8zZTksuzX79+vabz9SovtbmaM2cO6urq4jxHHo8HxcXFcLlcii51Oc+Tx+NBfn6+JlndbrflFRfNOp8YpZgfsmAeFECYeOwqN2PaZBcD4GKD4MT36uvruQMQ5YKzeIPs5LIJ5GTTml6oFnQnVb1QazZCrJxSgXtaUh0jz9cTDKk2V7FBm62traykpERXFL7S+VpevMGbYlpkIoJbzSRdfltSCcomSAHs+vDYVW7GzC/rqyUSPvaHVktWwIULF9ijjz7KXn755XBOuNaSw0p5+LGfDQ4Oquagm5WaKV579+7dcWV1lcaIrfWgZpjxGDhKz4rRdE5eQ0fpxdtwaWhoiG3cuFFT8yTKJjCGXWUnYyAFsOvDY1e5GdMnu1oxmwkTJuha3WnJQ49NFRNXo7w17PUWKIpU1FVVVeFCNSMjI9ypc7HKKNaY0upd8Hq9smmFap4cLUV2zEznNOJFkXp21BBl37t3r6TBWFZWlrTeFTxyp8tvSypAxkAKYNeHx65yM2au7HpXeuLqzmgeOu8qTu+KVklR+/1+1dbDsa/YCoR652/37t2K92qWktNToMpoASK9xoaS7HIGo9G23VZAvy2JJ6UaFRGE3TCSyiYGZxkN0mKMqTac0duMSa5GvkhHRwcqKirgdrvR39/PNQ+XXnppuBa+kflTahOstUETL0bTObUEOBppuCRmpZw6dQoffPABbrrpJowZM4Z6EBCmQNkEBBGDnlS22Mh1M/LQ1XLC9RQo0qqoeY8bGhrilksKLVkSkZkhZnTmS1QBomAwGGfs8NamiMxK+eEPf4iHHnoIM2bMkMxK0ZrBQhAAGQMEEYfeVLbI1Z1Sap8WA0HsrCgW/IlMddOzotWiqPv6+jBnzhyuY/XIJWJFm2ctGE3n5D3/wQcfxMmTJ9Ha2ora2lq0trbi+PHjcLlckt+viFyKZ1dXFwoKCqKUvNyxYmdEMggIWazaqzADihlIPHaVmzHzZNe6B6wUrCe3z33HHXdwjT158mTZa+nZ67aqpr7H49E9f8kIbjM7nVPP+TyBn1qCG7UGQiY6roB+WxIPBRCmAHZ9eOwqN2Pmya41OrylpUV1vNgf3d27d+sONhOVi1rKXayiaG1tZeXl5Zqv6XQ6VYMBp02bFnW/vPn2VVVVSQlu420brcVQ0XI+b+CnFoNPy7FmtMjWCv22JB4KICQIA4guft4qch9//LHqeLFBXkqBckqwmMBApZK4wOeu9/3798eVFNaC6LpWKrsb6SJ3Op145plnsGzZMsVxA4EA7rnnnqRsDUjBE6CoVFqaN8CRJ/CzuLgYkydPxquvvsol+4EDB3D11VdzHbt//37U1NTEXV/cSjDaX4OwKVZaJUYhz0DisavcjJkvO296HW9+eCRm5KaL11VakZpRDAcAKy4ulryGy+ViAJjP54u7x7KyMkUPh90K4EjNs8/nY8FgUJOr3WgqotyLt6iTktfGyiqF9NuSeKiFMUGYwIMPPqi4gtfSaS4W0fvgcDh0ZxyIgXp5eXlxgWknTpxAbm6uoW5/kWRlZUle49JLL5U9Z/PmzWhoaIjr8xAIBGy3+lQKzKuoqAhH7V9xxRWqQXpWNQrq7e1V/FzsuaF0HKPOhmkLbRMQhAxOpxNPPvkkCgoKAEB3fngsoqt5cHAQlZWV2LlzJzo7O8Ofe71ervbJkSltUlsRaq2GteD1eiWvoYQgCPB4PKiqqkJPTw+8Xq9id8dURUs6ZmdnJ/Lz89HQ0BB+bmKxqlGQknzi87py5UpUV1erjkWdDdMPMgYIQgGxM13snrvf70d1dbXm1a1US+Bp06ahqKgI3/3udzFt2jQIgoD8/Hx89tlnsuO43W5Vj4SZP+haYxyk7tPv96OmpsZWhgCgr27C8uXLUVdXh6VLl8Z9dsMNN3AbfHrJyMjAxYsXw/8Wn1eXy8VlDFBnw/SDjAGCUMGsyndylf+6u7uxZ88eXH755bjvvvtMUxJm/aDzboWIHo/9+/dLKhypADWlgLxUQY9RdfHiRSxbtgyhUCjKYBSNJCsNAfH6AMKBpuK8CoIAv9+Pzs5OSU+Cw+GA3+/XtfVF2BwrgxeMQgGEiceucjOW2rKb1cwm8qUWuMjT7Y/npRToJzZZcrlcXPcXGaAWCoXimjT5fL6EBBZqeVaMBPxFBuOZFczJ+1JrJW1Gi2yr5jzVsKvsFEBIECmGHlezGmorVqUqiDw4nU40NDRwbYX09/dz3R/7W4Da448/jvz8/KhYCeDve+6pVCnPSGlpMRjPSL8GvTCZYEBx60tvaWRidELGAEEkgP3795s+Js82gNwPPw979uyRDYIT0avctmzZovj5mjVrJEvzJgOjRlV3d7clxqCW68cil4FChkD6QsYAQViMIAjYvXu3aeNpTWmM/OEvLy/nOueOO+7gUgyRDYq0oBQcCXzeF6GtrU3X2DwIgoD33nsPdXV1sj0BIjFiVGVmZiY1Ol/OaLSi6RNhX8gYIAiLaW9vV80B50VvSqP4wz9r1iyu41966SWuTndaV+8OhwOTJk3iOtYqY6CxsREzZszAQw89hB/+8IfcXf0ijaqSkhLV60QabVo6G3o8Hq5jtVxfCkEQZJtgEekHGQMEYTFmbhEY3de97LLLuI/l6XSnxSARDZkbb7yR+xyzETM6pGIVeLr6iUZVVVUVQqEQ3G635HGxRpuWzoY8qX9qqBmN1OaYiIWMAYKwEEEQ8Morrxgep7i4OOH7umI8QElJieyqcezYsdzjiYbMXXfdxXW8lgJHIkqrXbWeAIDyvcaSl5eH06dPIxgMwuVyRX0Wa7TxtLQWFbfevhWReDwe1NfXSz4r1OaYkMTKtAajUGph4rGr3Iylpuxm1KH//ve/r6ndrNKxelsYy6UxRqYGyqXNlZSURMkxMjLC3G634vXcbrfm+vhqvQOqqqoM3asSvN8PT2dDvSmhl1xySdS/pboQam1zbCap+PfJi11lp66FBJEimBE49q1vfQtZWVmS1fxiV35Klf/y8vJ0FyJSuw+Xy4Xx48dHXTcQCEhWaXQ6ndi5c6diV8idO3dq2oKQK+gk9g7Qgp7vjLdUM08BK9GLINWNUom//vWvUf+WKvKkltXAItIRpe7HDkWiCH3QNgFBWIiRKoAOhwNutxuVlZVcLl0e96/enHm1+7j00kujUtVaWlrw4osvYnBwUDI4LS8vT3bPXW4fXg6zc/itLsXLE8VvJHtBhElsffAaOp2dnXHbLRRnMMqx1klhDNomSDx2lZux1JRdr8tXPF7Jne5wOJjf72ctLS1s9+7dii1sYyv/SVWgUztPCnGbILKFsZQrXMplHQqFZK8pVQlPzhVvVktgK13kehHved26dYbuTdz64J2r2DbHcs+hlqqFqfj3yYtdZdeyTUDGgEXY9eGxq9yMpa7sauVfS0tL435sA4EACwaDpig5KaUgpbD1/NDHGgNyJXdjx9K6d61kYOiNg1CTjzdGQwmzxjFq8NTW1kbNu5llkXmNqFT9++TBrrKTMZAC2PXhsavcjKW27EqBY0NDQywUCrHm5uYopWGGkpNTCoxFK6pgMKga2CZFpDGgRcHzKrfW1lZVA8MMoynyXnk9G3q+cz3jiN+VESUeGRSpZJwamUO1wMtU/vtUw66ykzGQAtj14bGr3Iylvuxyq0Q5uc1yf/P+YOtZxUYaA1oUPK+hs3v3blUDw+/3M5/Pp1mZ/ehHP2Ivv/xy1L3yejbUMGscqTG13KdSs6LYeVXaZuJ5RRqaUqT636cSdpU9ZRoVPf7447jhhhswfvx4fOlLX7LyUgSR8mgt/5qdnQ2v12vKtXlKGBstT8sbnCZGovPQ09OjGv3e0dGBNWvWAODrHSC26f3e976HwsLC8L2aVYfA7HoGImJQ4bRp06LeFwMu5eoXbN++He3t7VHBgFK9CaqqqjTJE4vVgZeEtVhqDAwNDWHp0qX48Y9/bOVlCGJU4nQ6sXLlSsPj6C1hrBVeZSCmpPn9fsXjAoEAtzE0c+ZMruh7cS62bdsWNxda0u6UMGscKfLy8nD8+HE8+uijePnll9Ha2orTp08jFApJdiHcsGED1q9fL5kBEGv8Gclc8Pv93L0yiNTE0joDwWAQwOd1znkYHBzE4OBg+N8DAwMAgOHhYQwPD5sun5WI8pLcicOusivJ/b3vfc9weVqfz4dt27Zh8eLFps+NuNJljGH27Nnw+Xzo6uqSXBU7HA74fD7Mnj0bFy9exLJly7B9+3bZsZcuXYqpU6dyyeH1ejFv3jzcfPPNePPNN9Hd3Y3jx4/jhRdeiCo9LM7F97//fTQ3N0fNx6lTp7iuderUKcV5NGscOS5evIivfvWrWLRoEcaMGYOLFy9i8eLFUfeemZmJ3t5erFixQrL2QkFBAerq6rBkyZLw++L3F1uqmYfz588jFApFjReLXf8+AfvKrkXelCo69MQTT4QNiEhaW1sxfvz4JEhknObm5mSLoAu7yg3YV3YpuQVBgNvtRl9fn6axJk2ahB/96Edwu92YNWsWnE4nXnvtNa5zBUHA0aNHcebMGUyZMiV8vhSi8T44OIjf/OY3uPXWW7Fp0ybJYxljWLlyJX7zm99AEAT8/Oc/V5Tj5ZdfxuzZs1Xv3+PxYGBgIOr+Jk2ahGuvvRZf+9rXJO9FnOvIOf/ggw8U5Yk8TmkuzRpHDbnnfNKkSRgYGMC6desUtyrWrl2LL3zhC1Hf7YoVK1TbS0vR39+P5cuXY+PGjZgzZ44uue2A3WQ/f/4897EOJvW0mMxLL72EkpISfPLJJ4rHSXkGAoEAuru7NRciSTbDw8Nobm4OW+92wa5yA/aVXU3upqYmFBYWAoBqYR3RDR676uOlqakJpaWlcavp7du3S46XlZWFrq4uTJs2DT//+c/DK/Jdu3ahq6srfJzf78e2bdvCYxw8eBCLFi1Slae5uRn9/f2S92/kXqXmXBAEzJgxQ3Fl7Pf7cezYMcXtFnEcNQ+J2jhaZI9Fy/zOmzdP83lSqN2XXf8+AfvKPjAwAI/Hg7Nnz6p2C9XsGaisrJRcvUfy1ltv4brrrtM6NMaNG4dx48bFvT9mzBhbfQGR2FV2u8oN2Fd2ObmXLVuGL3zhC3FlhkUDOXLV7Pf7JUsA89DY2IjCwsI4BdbV1YXCwkLJbomiQv7oo4+ilIjf70cwGMTMmTMly9b29PRwydTT04OioiLJ+zdyryKRcz5mzBjVlXFRUREuueQS1TGffPJJyXLC4nzV1NSojsMje0ZGhmR5YC3zG/nM8Z4nhRjMeeTIEcXSzHb9+wTsJ7sWWTUbA+vWrQtb6XJkZWVpHZYgCAXkatoDMKVWvFoEvMPhQElJCXJzc6PGv3DhAoDP97Ej6ezsRGVlJfbt2yepGLQEGwJ8Nf2NIggC9uzZo3hMXV0dnnjiCdXripH/ZhowYl+AU6dO4YMPPsCFCxdQVlYm2YdC6/zK/VsPZvTjIBKPZmPA4/HA4/FYIQtBEArINcPR0+o3Fj0NbARBkN36UzIgAISzCTo7O2Vd6bER6rzNgPSiNgcAFJv4xGKmASPVgEoKMTiwvr5e8/wCf/9e1K6jBKUY2hNLUws//PBDvPvuu/jwww8hCALeffddvPvuu/jss8+svCxBEBrRUiNApL29Pc4jEIlSCp3YmQ+Qz4+3OhUyFj1zoIbR2g2AfAMqKUTFX1paGs7U0DK/TqcTRUVFmmUUx1WrZUGkLpYaAw8//DC+8Y1voKKiAp999hm+8Y1v4Bvf+AbefvttKy9LEIRG9LiVjSpPuc58Ho8H9fX1hmIB9KDXtW4GgiDEdQkU39fakVE0wrxer+T8+v1+yfgP8XpqWyVA6hhwhHlYmlr40ksvcdcYIAgieehx25uhPPPy8iAIAu6++2709vYC+DyIbf369cjIyEioQaBnDsxAagtA3Pt3uVy6Xfbd3d0oKirStFXBs1UCfG6wRQYbmhHMSSSXlKozQBBEchDd9koR8OKqTwxk6+zsREZGhuxWAY/ybGxsxPLly2UL48itYK1AyxyYhbgFIHf/xcXFuscWjTAtsRa83p6qqipcfvnlaGtrA/B53EpOTk742bAqyJOwEENdECyGGhUlHrvKzZh9ZU+E3LxNiJS6K8p9LvXiacijtY2xmSjNudocmAXP/etpHmRk3nibTUl1uXS73XGtuCO7NNr175Mx+8qupVEReQYIwuaorcaU3NCxq26lCHi5VawUPG5jPRkMiSARaYwA3/339PTA4/GEt1DUMOrB4NkqcblcqKysjPtcqkpkpIdn8eLFmuUhEgcZAwRhY9QUvZobWsoNL+VW5glk83q9qKqqgs/n41KeVkTvm4XVaYwA/33l5ORg3759XMca3btX2yoR/81jEIrHiSmmN998sy6ZiMRgaTYBQRDWIZdyFqno7733XlNa6fIElvX09MDn83Gn0CUzej8V4L2vq6++muu48vJynDhxwnCMhVyWh1hVUmufDNHD8+abbxqSi7AWMgYIwoaoVQwEgFWrVinW2WcKdQBisWIVL7qkY9PUREZ73jrv/fN6KBYsWGDaVkZeXh5OnjyJ1tZW1NbWorW1FSdOnMDMmTN1j0mVCVMb2iYgCBvCs98stgBXg+dHmncVe9lll6GtrY2rZLKR6P3RELXOe/85OTlJSXmU2iox4qXJzMzEuXPnDEpFWAV5BgjChpi5yuL5gVdbxQLAxIkTcfvtt2P+/PlYsWIF5s+fj6lTp2Lq1KlR72VlZaGxsRGAvEtaDFLLzc2Nu05jYyOysrJkx0wl5IoJiSi55MV4jlSq1sjzHMQiejjmzp1roWSEYcxNZDAXSi1MPHaVmzH7yq5Hbt4UMLWXlhS0UChkyjWl0g5HRkZYMBhkLpdLNjVNlMHhcOhKZYzkwoUL7NFHH2Uvv/yyYqqlEaRSFGPvR4Qn9bOhoSEu1ZA35ZE3tZT3vsT51vJd63nOzZTbCHb9bdGSWkjGgEXY9eGxq9yM2Vd2vT+Sfr+f6wdZ6aUld35kZCQuj9yIQRBpiPAoebPqEoRCIebz+biUtF7MMloix4u9d4/Hw+rr63Wda/R+eetNRBorWp9zK+TWi11/W8gYSAHs+vDYVW7G7Cu7Xrm1rNCkXsFgUHZsqRWZWd6IyJc4No+Sb2lp4R5Tbc7MUtJyc2dmMSUjMsudK74qKioUV91KK/P6+nrV5yvyeC3PeSK+Jy3Y9beFjIEUwK4Pj13lZsy+shuRW2715Ha7FZWA3+/XVIXQ7/ezkpIS040BUcnwHFteXs49phSJqnjIez9KRosZMqudK/VMxG7JyK3M9cjF+5wnszKlHHb9bdFiDFAAIUHYGKkUsJMnT2Lnzp0ApAPOHA4HampqJAPOlGoXVFdXmy5/Zmam6SlncgGRWioeGsHMNEwjMvM2HRIR61M0Njaq1rBYuXKlZXOZqO+JiIZSCwnC5kilgIlR6lLVCeUq1KnVLnA4HMjIyOAqUsRLT08Pd7paTk4OXnrpJd0pdkaVNG86o5nFlIzIrNXIEr9jsTmS3HMAAHv37tUtl1nnUN0CcyFjgCBGKVpr7POsyERDIDYvXi/33Xcfjh8/zpVHn5OTY6iroBElraW/g5mtkI3IrKcmAGNMd8tkKfTIkO6VKZMFbRMQxChG9BoUFRWplgnmXWmVlJTE5cU7nU6UlZXB7/drku/UqVM4dOgQdx49T16+HHorHsq5zDs6OpCfn49gMBhVR8DMugCizErIVWnkOddK9FaPTPfKlMmCjAGCIADwr7Ryc3PDcQpTpkwBAEydOhWbN2+Oil8oLy/nGq+7u1uTkpcrlatWk1+PkuZp0FRZWRlX/MiI0RIrc1FRkeIxy5YtkzQsIu83GegthGSGMaVW7ImQwPz4RfOgbILEY1e5GbOv7Kkit1rtAqkobjFf3+fzxY2nJxUwEUVmpOoMyBXv0ZpOGZv6ZvR+eDICnE4na2hokB2joaFBU/qp3+83XMNCKm3VjDoDXq+XlZSUKM6lFfUJUuVvVCuUWpgC2PXhsavcjNlX9lSSW652gVx+t5wxIKVweYyLRMFbgbC2tlazIjTzvrQYI0rKrqKiQtM4RmpYyKWtGqlAWFJSEld90eVyxdUysKo+QSr9jWqBUgsJgtCFGe5tcY9dqWMiADDGsG3btqQ0GHI6nfjqV7+KwsJCxVgKvUF4ZqW+aYmYV2pH/dBDD8Htdiue73Q6UV9fj7y8PNnnIBAIoKysLJyiKoVc2qoenE4n+vv7UVNTg56enqjP+vv7UVFRAZfLhfXr1+PAgQOmtexOR8gYIAgiCr178gDfHnskpaWlKdlgSMRIEJ6SIufd09ZijCgZIE6nM1x7Qo7y8nKu2IzNmzdj3759cLlccWOoGRxa4XmeBgYGUF1djYULF5rWsjsdIWOAIIg4tGQhRGKk0E0yUFPKRoLw5BS5lq6LWo0RJQMkLy8PoVBIdrxgMBgnh9Jz0N/fHzdGX1+fqd+n1ueJB6pPIA0ZAwRBmIaeQjdActy3hw8fxowZM1SVcl5eHhoaGrgNIqXUN7XKfrHX1mqMqHkSxNV+MBiU/JzHOFNbrTPGsGbNGgiCEGVsHTx4UPN3bIXipvoEMlgWuWACFECYeOwqN2P2ld2ucjMWH0BopJlRZEMkq1vW7t27Vzb4Ty7QTK0xj9r5Rmru19fXM6fTaUrQotHa/7zf8fLly+OuM2nSJHbPPfdwf7dmNscyEthp179RyiZIAez68NhVbsbsK7td5WYs3hjQ2hwn8lVSUpKQlrUjIyOKmQ5KSkOtda9ciiJjxhsYNTQ0aDZArJBDT4aF1IvnuzXyPBmZo1js+jdK2QQEQSQFniI5clRXV3O7z43Q3t6uO9AsNqiupaUFLS0tXIGWRmvuFxQUIBQKGS5kZFQOs9zsHR0dqt+tuE0il7nAi9Y5SkeoNwFBEKbR2NiIrVu3ajpHqQES+1vznJKSEuTm5pqSsmZUGUo1huLBjJr7eXl5uPnmm7F161ZcccUV4dgELfPCK8fp06fD5ZUjyc7Ohsvlkgwg1IPadyumOa5ZswZ9fX3c4z7wwAO45pprVHtyEJ9DngGCIExBa1oh8PeGR0qBZUordT0kqxEOT819r9eLzs5OxXRD3hoJeuUQWb9+vWRApdPpDHc2NArvd5uXl4fTp08jPz+fe+ypU6dqzoZJZ8gYIAjCFPSkgfn9fpSUlHAda1ZkeXZ2dpyrPRIrGuGI7Y8LCgrC3o5YGGPo6enBrbfeqphuaBSl2v+xyG3TPPjgg6bWFNi/f7/qMU6nE+vWreMe0+v1GhEp7SBjgCAILtRy8rUo6/Ly8vAee25uLtc5Zq3UnU4ntm/fDsB4V0EeIusKVFdXAwAyMtR/eq2swSBXYTAWJpP6yVPESAvV1dVc95mdnc2t5Ht6eqhRkRasi2M0DmUTJB67ys2YfWW3g9xyzV9cLlc4m0BLGlhtbW14bD0NkowyNDTENm7cyN2wSC9ytfLF17333ss8Ho+mzAYzn5eRkRFWVVWlO7tA6rkIBAKsrKxMc28D3u9YLqsi8hWbhkmNiiibgCAIgygVyokMItOyaotc5ZvRslYPc+bMwfHjx3WVXeZBLYbC4XBgz5496O3tlR2DWVxC1+l0YurUqVzHSnl+1EoWq3keIuG9z4yMDEyYMEHxmFhPQLIrXdoBMgYIgpBFSaFFvscYg9PpxDPPPKM6ptR+vFqDpNzcXEv60+stuxyJ3PaJWgwF+1uMAA9WltA1GlApN4eRhsJ3vvMdrmuo3adomH722WeSn8ttvzBqVKQKpRYSBCELb1Dg0NAQgM9z4cvKyrBlyxbJ4xwOh+wqPy8vD7m5uWhvb0d3d3c4JWz//v3IysqKksPv96OmpiZuFS8G6kWeb2UkeWNjI4qLiyVlGxwcNO06VpbQFbMLOjs7JY0+h8MBv9+vK6AyMg3z17/+terxSvfJk61y8eJF2c8ivSx6UkNHO+QZIAhCFt4VaeRqa/Pmzaivr4fH44k6JhAIqBZ+iV1l7t+/n7uWv5YGQGag1mfg2LFjXON4vV7FdEOzMxtiScQ2TW9vr2rQpFpapVlNi6hRkTSWGQMnT57EqlWrcOWVV+LSSy/F9OnTUVFREV5BEASR+vCuSGMVxdKlS/HRRx8Z2o9X26JgjOGuu+7C0NCQ5gZARuHZPnn++edV6woEAoHw1koi4yViUdumMRJH0djYiGXLlimu2gGoplWapcSpUZE0lhkDf/rTn3Dx4kXs2LEDf/zjH1FVVYXnnnsOP/3pT626JEEQJsNboGbs2LFx7zmdTmRnZyMzMxPd3d1ob2/XtF/LsxLs6emBz+fDmjVrVI2GV155xbR4A554gI6ODtx5550ApPP5GWPYtm0bCgoKLFPEWpALBjRyfT2FqABpI86oEk+El8XOWBYz8J3vfCcqaOSqq67Cn//8Zzz77LOay5USBJEcRBdyQUFBuFqgSOS/pZSd0n46j4JR6h8QiVI0voi46hRl2LZtG8aNG8c1vhS8q9SZM2di3759cfMgUlpaCqfTKRsvAQBtbW1x70ViZpyE3lLLcuh17YvP1V133YXvf//7GDt2LHp7e+F0OmWNOYfDEVUmOfZZBYDVq1ejvr6eShRLkNAAwrNnz8Llcsl+Pjg4GBV0MzAwAAAYHh7G8PCw5fKZiSgvyZ047Cp7qsu9ePFi1NXVobS0NEpB+3w+nD9/Hv39/WCMRcnf1NSEwsLCuBWhuOKrq6vDkiVLZK/Z1NTEXZlQK52dnSgsLMT999+PRYsW6RqDN4XS6/Vi3rx5GBoakmzgFDsf3/72t8OfhUIhyTnfsmULxo8fj+HhYTQ1NUkes337dsX5TRSnTp0ydL7o+fnhD3+IqqoqVQ+DuOUSOyculwuMMVRUVITfk5onQRDw5ptvhg2ruXPnwul0pvzfqBxa5HUwrf4bnbz//vu49tprsW3bNqxevVrymMrKSgSDwbj3a2trMX78eKtFJAhCAUEQcPToUZw5cwZTpkzBrFmzws1j3G43XnjhhfBxak1lPB4PduzYIbkyO3z4MDZt2mTZffDIoIaWewSgeT7U5mDjxo0AoHrMnDlz4uSO/Q6tWB2L1/nDH/6AhoYG08ePxeFw4Hvf+x6uv/56zJo1CwDC99nd3Y09e/bInivO0+HDh7Fr166o78ntdmP16tVx82gXzp8/jxUrVuDs2bOYNGmS4rGajQE5hR3JW2+9heuuuy78766uLsybNw/z5s3Drl27ZM+T8gwEAgF0d3ebWgc7EQwPD6O5uRmLFi3CmDFjki0ON3aVG7Cv7HaVGwCysrLQ1dWFadOm4eTJkwCAgwcPcq24m5ubMW/evKj3BEHAjBkzuLcIjPKrX/0KCxYs0HWu6P0ApF3S4mpf63yozYHoDh83bhy6urpkj/H5fDh27FhY2SfKiyB1nUQSeU88cyl6W1asWBHneRC/y1deeQXjx4+33d/owMAAPB4PlzGgeZtg3bp14T8AObKyssL/39XVhfnz52POnDmqtazHjRsnuY83ZswYW30BkdhVdrvKDdhXdjvKLf5YOhyOsOy8hXR6enri7ve3v/1tQpWIlAy8LFu2DF/4whck4yKqq6vDcRFa50NtDhhjqq18xQDGI0eOICcnB42NjZLbNl1dXVi+fHm4jbDWffTYeIXe3l7J6ySSrq4uFBYWYt++fXC5XKpz2dHRgXvvvVc2ANXhcOD+++9HTU2N7f5Gtciq2RjweDxx+cNydHZ2Yv78+fjmN7+JF198kas5B0EQ9sZIRTu96WPiapkxFlUiWY8MWpAL/ItUqFrnw8w8+O7ubq40yOrqalRXV2sK8JQKEHU6nUk1BIC/K/CSkhI88cQTXOcoGWyiwXD06FEsXrzYLDFTDsu0c1dXF3JychAIBLB161b09PTgo48+wkcffWTVJQmCSAHEdEQl5FK89Chn0Tvxox/9CGfOnOE+x+PxYO7cuZqvF4taSWO19MzYlDcz8+AzMzM1RfTz1mWQq+ugJ22zpKTE9HbDYrVBXq8MD7zPll2xzBh4/fXXcfz4cfznf/4n/H4/MjMzwy+CIEYvTqdTMnI+ksLCQkl3NE9dg9jz/H4/9u7diz179nCtSsWxV61aFR5LrT2zEbRW+OMxHtxuN3w+H5eBocXTwFPDX2/tADlyc3PR0dHB7XHWgtfr5aqTwcOUKVNMkCh1scwYuOOOO8IFP2JfBEGMXgRBUIzeBj4PrpNSNmqKU+z0F1sYx+v1cq9+/X4/6urqwhHiiShjrKXCH4/xsHr1amzfvl3xGNHA0LoAU+uUaFZZ4EiDZezYsdixY0f4OzYLn88nO5da5PT7/eEshVELb1/kZCD2Yu7t7U22KJqxa/9ru8rNmH1lt6vcjDHm8/kYAObz+cLvtba2cvWvb21tlR03FAoxv98f1+9erid9bW0t1zXLy8vZyMhIeM737t3LHA6H5LEOh0P2enoZGRlhra2trLa2lrW2trKRkRHNc7B3797w88IzTyMjI8zv98vep9yrtrbW0FwrvRwOh+T8St2P3vEDgUB4fvWOK8oZOed2QtShZ8+eVT2WIvoIgjAVXre0GNwm5Z7XWhqXd/Wbk5OD9vZ21NXV4b//+7+xfv16WW8lYwxr1qwxbctAa6VAuTmITAPkmSclT4MScnNqxlavXKnlyPspLy/XNbbU1os4rtYxRTlToYCT5VhumhiAPAOJx65yM2Zf2e0qN2PGPAPBYDButeb1ellDQ4NmOdRWvw6Hg7nd7rC8Wl7BYNDwPEmtTP1+vy7Pg97nhXd1HLuqjoXH0+B0OuPu9eGHH2alpaWsublZ0SMiwuuBcLlcip6RSHifzfLy8ijPjV3/RrV4BsgYsAi7Pjx2lZsx+8puV7kZkzYGeBWzkjIpKyvTLEsoFAq7dWOvp9UAiFU2PMpLipGRERYMBhVd0FoNAiPPi7hNUVJSYkgmubkWXxUVFaylpSVqO0Sr3LyKu6WlRXbrJXZbZnBwUPXZlDKE7Po3SsZACmDXh8eucjNmX9ntKjdj0sYAY+qK2e12q/7I19fXa5ZHbgXOcz2ll1J8gxwNDQ3M4/Eojqu2CpfCrOdFa1wGz/mx8x45lla5eTwQXq+XDQ4Ocsvn9/tZWVmZ7LMpZwjZ9W+UYgYIgkgqStHzwWBQtYIeAKxdu1bzfr3UHvpLL73EdT0ltBYCuv/++7F06VLVjopMJXLfSoy2LBbPlytPz1uzQA6eWIeenh5Mnz497hpydRA6OzuxdetWbNiwIekto1ONhHYtJAgifZCrzldfX891fk9PD9rb2zW31I1tw6uW5siDlqC5hoYGbNmyRdP4ZlYd1IIZLYuff/55yfdZRCXA3NxcXWOLRqVcC2jg70aHqMjVKi46HA7U1dXh/fffx6FDh0xp/TwaIGOAIAjLkFI2WhSrGUrSaPS7XLVEKQRBwN133635GkZlVMtU0JrJwItazYFIz0dke2Yt5OXl4fvf/z78fr9kRcFYo4NXpkOHDhk2hEYTtE1AEERCyc7O5i4/a0YaG09VQyUiU9TUaG9vV90aiCS2FLEe1IomWVlUSUsaqREOHTqk2j9ANDoSJdNog4wBgiASitPpxDPPPKN6nFElGXk9PXn2TqcT9fX1mvaQ9SgYLcZGLEp74wUFBbj//vsVPzdqEBhpSqUFLQo+UTKNNsgYIAgi4RQUFKCsrEz2c4fDYUhJxiIX0KhEXV0dli5dquk6WhSM0YA1tb1xxhi2b9+u2K1QqQcBD1qbMOlFi4JPlEyjDTIGCIJICps3b0Z9fX1cg5pAIGBJVHdk9PzLL7+MRx99FHv27InrsBgIBBAKhVBQUKD5GjwdGwGgsrISJ0+eNHSPb775pmqPACVFb0Ymg9YmTKJMWptCaVHwemQiyBggCCKJLF26FB999JHu9DatiAGNhYWF+OpXv4r8/HxD6XVS49fU1ChuR5SVlaGiosKwMjJrz9voOFqaMB0+fBgzZszQHL+gVcFrkYn4HMomIAgiqZiR3pZK15dLh/N6vfjZz36meetBDrP2vDMzMw1nG8ilkUaO0dTUhE2bNsWdG5saqHQNqXn1+/2orq6W7HOgJhPxd8gYIAiCMJlEKKK5c+fC7/ejs7NTttmS0+nExYsXJT8XW/P29PQgKysrTsHW1NRoWkErGVWCIKC0tFTys9jUQKWUyNzcXE3zmmxD006QMUAQxKjFqvx6HqxWRKLrvKCgAA6HI0rhi67z0tJSbN26VfbzwsJCLF++PM5Y4F2t89Le3o7Ozk7ZzyPjF8Q5a2xslPQCaDVSCD4oZoAgiFGJlfn1giDgwIEDeOihh/DQQw/hwIEDkoFweoLltKC2N75582bZz+vr67Fnzx5Tsg3U7lNr7r9ayqQZ3yERDXkGCIIYdYjKRG7FW1dXh3Hjxukee82aNVH9Dh577DG43W7s3LkzvGpN1Mo2ckuis7MTPT098Hq9cLlcEARBdstCS/VAJQ8Hz31qSQ3kKScstaVAGIOMAYIgRhU8yuS+++4LR6drobGxEfn5+ZKf9fX1IT8/H6FQCAAUjRGzI9qdTif6+/vxwAMPyCrlWIVuRqU+NaNLvM/s7Gz4fD7ZrQIxfsFMI4XQBm0TEAQxquBRJh0dHTh69KimcUUjQ417771X0RgBjBf7iUWPW91opT41owv4+306nU5s374dgHpqIK+Rsn//fq7jCD7IGCAIYlTBq0zOnDmjaU9fzcgQ6ezs5F7ZyqFFLi1KORKjlfq0rOABYMmSJdi4cSOmTZsWdVxs7v9ll10mO2Ykr7zyiukxGOkMGQMEQYwqeFe83d3dmgrgmN3YRm48rYGPWpWyiNFKfbzzEQqFwgbNnDlzcPz4cdkiT42Njbj99tu5xhVbXBPmQMYAQRCjCp4Vr9vtxp49e+L2sM1wq/MiNZ4ed7+RvX8jlfp45+Ppp5/G/PnzMWPGDBw+fDiccllUVIScnJywsSHeu1IKIs89EfogY4AgiFEFz4pXrkgPj1tdDZ/Pp8v9rtfdb3TvP7Jng5aSzFpbQ3d1dWHTpk1oamqK+0zp3pWgzoPmQcYAQRCjDqUVb2VlJfr7+2XP5XGrK/Hkk0/qcr/zuvvffPPN8HuCIEAQBLhcLtnzeLr0ya3WldDaGlpU9Pfdd1+cQcMbjyFCnQfNh4wBgiBGJXIr3pkzZ3KdL+WCzs3NRTAYxIQJE+I+c7vdCIVCyMvL0+V+1+rub2pqQlZWFhYuXChr3FjdpU9Pa+iOjo44Q0uLu586D1oD1RkgCGLUIlUSWK9bXaq4zsSJE3HTTTfhrrvuiltRa+1PoEWulpYWbN68WdWtLtfEx0zE+2xra8Mtt9yCzz77TPWcWOWvxd2fiHtKR8gYIAgirdBSAEdErrjOZ599hlAohKKiIkklr6U/gbgHL9d4SJRrzpw5KCwsVDQE3G439u7dy+3yN4rT6YTT6eQyBIBo5R+51aG0fZPoe0o3aJuAIIi0QksBHEB/YJ8euXhiDQ4fPhxVClmKvr6+sIJOFLyufpfLFTa0xDRKta0Oh8OBnTt3YsGCBWQIWAQZAwRBpB28BXAA/Xn8euCJNTCjjLAV8Lr6161bB6fTKZtGGQtPmiNhHNomIAgiLZkzZw4qKytx5MgRxT39RCtftVgDo6mERpFrC622zQF8HmPxk5/8hCuV0OVyob6+nrYFEgQZAwRBpC08e/rJUL5Kcs2dOxdutxv9/f2KsQVWpN2pdSisqalBQUEBHA6H7LbK//7f/xuXXXaZqkegv78/4Vsd6QxtExAEQShgtIa/2TidTqxevTp87VhZAGvS7pSqI+bn52P9+vXh1bxc3YPPPvsMhYWF3E2GqMJg4iBjgCAIQgGjNfytYM6cOVi/fj0yMqJ/wjMyMrBhwwbT99d5giirq6sxf/58/PjHP8bFixcVx3vllVe4rksVBhMHGQMEQRAqGKnhbwWHDx9GVVVVXAaDIAjYunWrbFMjXoaGhlBdXY177rkH1dXVOHDgAHeFwN7eXpw5c0b2c8YYenp64PV6U8bbQlgcM/CDH/wA7777Lj7++GNMmTIFCxcuxKZNm+IieAmCIFIdrUWErEIQBOzatUsx+K6kpAS5ubm6ZLv//vuxffv2KEODt/+AFlauXImampq4+AKqMJgcLPUMzJ8/H/X19fjzn/+MUCiE999/HwUFBVZekiAIwjL01PCXQhAEtLW1Yc+ePeH2vry8+eabinUGjKQ63n///diyZUucPFobCPGQm5ubUt6WdMdSz8D69evD/3/FFVfggQcewC233ILh4WGMGTPGyksTBEGkJFIR+V6vFytXrkRubq6qt8GqVMehoaFwMSYricx2cDqdKeFtIRKYWtjf349XXnkFN9xwg6whMDg4iMHBwfC/BwYGAADDw8MYHh5OiJxmIcpLcicOu8puV7mBv68YGWO2kj9Zc97U1CRZSrinpwfV1dWorq6Gz+fD9u3bsWTJEskxvF4v17W8Xq+m+3vqqacMV1HkZevWrbh48WI40PDb3/52+LPI91MFu/6NapHXwazw/0SwceNGPP300zh//jxmz56NX/7yl3C73ZLHVlZWIhgMxr1fW1uL8ePHWykmQRA6WLVqFfr6+uB2u/HCCy8kW5yURhAErFmzRrWUsMjGjRsxZ84cXeN4PB7s2LFD0wp7586deO2117iP14PH48GqVask74swn/Pnz2PFihU4e/YsJk2apHisZmNATmFH8tZbb+G6664D8HlkaX9/Pz744AMEg0FMnjwZv/zlLyUDUqQ8A4FAAN3d3bIGRKoyPDyM5uZmLFq0yFZbInaVG7Cv7HaVGwCysrLQ1dWFadOm4eTJk8kWh5tkzPnBgwexaNEirmMdDgd8Ph+OHTsWp9CHh4fxyCOPYPPmzQAgGXxXV1cn61mQ48knn8SGDRs0naOG3+/Hrl278PHHH8Pr9eL8+fP4zne+Y7vn3K5/owMDA/B4PFzGgOZtgnXr1qGwsFDxmKysrPD/ezweeDwe/MM//AP+6Z/+CYFAAEeOHJG0DMeNG4dx48bFvT9mzBhbfQGR2FV2u8oN2Fd2O8otKh+Hw2E72YHEzvl//Md/cB/LGENHRweOHDmC7OzsqD312bNnY86cOairq8N9990XVw0wsr2vXOlgKe655x5s3LjRtK0Ch8OBmpoa3HTTTQA+V6ivvfaaLZ9zEbvJrkVWzcaAqNz1IFqwkat/giCI0Y4gCNi9e7fm8/bv34/bbrstSuH7fD7ceuutePTRR5Gfny+r7NVKB8cyduxYlJaWYsuWLTruMJpAIBBllBCpj2UBhL/73e/wu9/9DnPnzsWUKVPwl7/8BQ8//DCmT59O+0UEQaQV7e3t6O3t1XxedXV13HtdXV3YtGkTrr32Wixbtkyyh4FYOjh2F7izsxMFBQVxqXuiB+Eb3/gGli9fjoaGBs1BfFVVVZg6dSplBNgUy4yBSy+9FI2NjaioqMC5c+eQmZmJ73znO6irq5PcCiAIghit6Kmx73Q6JV32ooK/7777kJ+fH6d01UoHOxyOqKJEUh4En8+HG2+8EV/84hdx5ZVXYvv27ejq6lJsjHTPPfeQAWBjLDMGvvrVr+I///M/rRqeIAjCNmipsS9W5FPbu+/o6EB7e3ucZ6C9vV2xdHBkUaL+/n5JD0JXVxdeeumlsAchKytLshshVQscPVBvAoIgCItR63wYid/vR0lJCde4Uh4HXi9EZ2enavOhkpISCIKQcr0ZCPMhY4AgCMJieDoflpSUoLW1FSdOnEBubi7XuFIeB14vRE9PD7cHAfi8N8PJkyfR2tqK2trasKxkCIwOyBggCIJIAEqr61AohKqqqnC/Ax5PgljSNxa1c8WOgLyVDA8cOBDesjCrNwORepAxQBAEkSB4V9c8noRt27ZJKmOec8Wyxzw89thjyMrKMtwWmUhtyBggCIJIILyrazlPgs/nw8aNGyUrDIrdEAcHB1FZWRnXLj5yj19LHIOYkkgGweglYY2KCIIg0gExZ7+zsxM9PT3wer3w+Xy6cu/z8vLiuvrNnj0bv/nNb+KOlSsyFAwGMXPmzLj8f9GDIJUlEItUSiIxuiBjgCAIwiSkFLKIUvU/JURPgohUJzqlIkOVlZXYt2+fZHEi0fsgJ3MkkQGFUmMR9oa2CQiCIEygsbER+fn5skq1o6PDEle7WpEh4O8pglKIcQzl5eVc19NTQIlIfcgYIAiCMIjYVpgHJcWsBy1FhuRwOp1YsGAB1/W0FFAi7AMZAwRBEAZpa2tDX1+f6nE8ilkrvCt1teN4UxKl0hkJ+0PGAEEQhEHa2to0HW+mq513pa52HG9KIgUPjk7IGCAIgkgwZrrazVzRU9nh9IWMAYIgCINoia4329Vu9oqeyg6nJ2QMEARBGCQnJwdut1v1OIfDYYmr3ewVPZUdTj+ozgBBEIRBnE4ndu7cifz8fNlj3G43du7cadkKWyxQ1NbWFo5hyMnJoZoABBfkGSAIgjCBvLw8hEKhuNW5y+VCMBjE6dOnLXe179+/H3fccQcee+wxPPbYY1i4cCH1FSC4IM8AQRCESUiVD9ZThlgPSlUICwoKKACQUISMAYIgCBOJLR+cCNSqEFJfAUIN2iYgCIKwOWZUISTSGzIGCIIgbI5ZVQiJ9IWMAYIgCJsgCAIOHjyIN954AwcPHgz3OOAtYnTs2DErxSNsDBkDBEEQNqCxsRFZWVlYtGgRtm/fjkWLFoUzBbKzs+OyGKR4/vnnTW2SRIweyBggCIJIccRMgdi4ADFTYP/+/VxdEzs6OihugJCEjAGCIIgURi1TAPi8LfL06dO5xqO4AUIKMgYIgiBSGN5MgZ6eHq7xzGySRIweyBggCIJIYXhX8l6v17TuhUT6QcYAQRBECsO7kvf5fKZ2LyTSCzIGCIIgUpjs7GzuFb/Z3QuJ9IHKERMEQaQwTqcTNTU1KCgogMPhiAoklFrxJ7M/AmFfyBggCIJIccQVf3FxcVQwod/vR3V1ddyKPxn9EQh7Q8YAQRCEDRBX/K2trfjVr36F7373u5g/fz6t+AlTIGOAIAjCJjidTsybNw/nzp3DvHnzyBAgTIMCCAmCIAgizSFjgCAIgiDSHDIGCIIgCCLNSYgxMDg4iK9//etwOBx49913E3FJgiAIgiA4SYgxcP/992PatGmJuBRBEARBEBqx3Bj41a9+hddffx1bt261+lIEQRAEQejA0tTC06dP484778Srr76K8ePHqx4/ODiIwcHB8L8HBgYAAMPDwxgeHrZMTisQ5SW5E4ddZber3MDfW+gyxmwlv53n3K6y21VuwL6ya5HXwaSaZJsAYww333wzvv3tb6O8vBwnT57ElVdeiXfeeQdf//rXJc+prKxEMBiMe7+2tpbLmCAIIrGsWrUKfX19cLvdeOGFF5ItDkEQEZw/fx4rVqzA2bNnMWnSJMVjNRsDcgo7krfeeguHDh3C3r178cYbb8DpdHIZA1KegUAggO7ubrjdbi1iJp3h4WE0Nzdj0aJFGDNmTLLF4caucgP2ld2ucgNAVlYWurq6MG3aNJw8eTLZ4nBj5zm3q+x2lRuwr+wDAwPweDxcxoDmbYJ169ahsLBQ8ZisrCw89thjOHLkCMaNGxf12XXXXYeVK1fi5z//edx548aNizseAMaMGWOrLyASu8puV7kB+8puR7nFRjkOh8N2sgP2nHMRu8puV7kB+8muRVbNxoDH44HH41E97sknn8Rjjz0W/ndXVxduuukm7N27F9dff73WyxIEQRAEYRGWBRB++ctfjvr3hAkTAADTp0+H3++36rIEQRAEQWiEKhASBEEQRJqTsK6FWVlZsChxgSAIgiAIA5BngCAIgiDSHDIGCIIgCCLNIWOAIAiCINIcMgYIgiAIIs0hY4AgCIIg0hwyBgiCIAgizSFjgCAIgiDSHDIGCIIgCCLNIWOAIAiCINIcMgYIgiAIIs0hY4AgCIIg0hwyBgiCIAgizSFjgCAIgiDSHDIGCIIgCCLNIWOAIAiCINIcMgYIgiAIIs0hY4AgCIIg0hwyBgiCIAgizSFjgCAIgiDSHDIGCIIgCCLNIWOAIAiCINIcMgYIgiAIIs0hY4AgCIIg0hwyBgiCIAgizSFjgCAIgiDSHDIGCIIgCCLNIWOAIAiCINIcMgYIgiAIIs0hY4AgCIIg0hwyBgiCIAgizSFjgCAIgiDSHDIGCIIgCCLNIWOAIAiCINIcMgYIgiAIIs0hY4AgCIIg0hwyBgiCIAgizbHUGMjKyoLD4Yh6PfDAA1ZekiAIgiAIjXzB6gs88sgjuPPOO8P/njBhgtWXJAiCIAhCA5YbAxMnTsTll1/Odezg4CAGBwfD/z579iwAoL+/3xLZrGR4eBjnz59HX18fxowZk2xxuLGr3IB9Zber3AAgCEL4v319fUmWhh87z7ldZber3IB9Zf/0008BAIwx1WMdjOconWRlZWFwcBBDQ0MIBAJYunQpysrKMHbsWMnjKysrEQwGrRKHIAiCINKOU6dOwe/3Kx5jqTFQVVWFa6+9FlOmTMHvfvc7/OQnP0Fubi527doleXysZ+CTTz7BFVdcgQ8//BCTJ0+2SkxLGBgYQCAQwKlTpzBp0qRki8ONXeUG7Cu7XeUG7Cu7XeUG7Cu7XeUG7Cs7Ywyffvoppk2bhowM5RBBzdsEPKv3t956C9dddx3Wr18ffu+aa67BlClTUFBQgE2bNsHtdsedN27cOIwbNy7u/cmTJ9vqC4hk0qRJtpTdrnID9pXdrnID9pXdrnID9pXdrnID9pSddyGt2RhYt24dCgsLFY/JysqSfH/27NkAgOPHj0saAwRBEARBJB7NxoDH44HH49F1sXfeeQcAkJmZqet8giAIgiDMx7JsgsOHD+PIkSOYP38+Jk+ejLfeegvr16/HD37wA3z5y1/mGmPcuHGoqKiQ3DpIdewqu13lBuwru13lBuwru13lBuwru13lBuwtOy+WBRD+13/9F+6++2786U9/wuDgIK644goUFhbi/vvvx/jx4624JEEQBEEQOrA0m4AgCIIgiNSHehMQBEEQRJpDxgBBEARBpDlkDBAEQRBEmkPGAEEQBEGkObYxBkZDO+TBwUF8/etfh8PhwLvvvptscVQR00AvueQSZGZm4rbbbkNXV1eyxVLl5MmTWLVqFa688kpceumlmD59OioqKjA0NJRs0VR5/PHHccMNN2D8+PH40pe+lGxxFHnmmWdw5ZVX4pJLLsE3v/lNtLe3J1skVd544w0sXrwY06ZNg8PhwKuvvppskbh44okn8K1vfQsTJ07EZZddhltuuQV//vOfky0WF88++yyuueaacPW+OXPm4Fe/+lWyxdLME088AYfDgZKSkmSLYgm2MQaAz9shd3d3h1/l5eXJFkkT999/P6ZNm5ZsMbiZP38+6uvr8ec//xmhUAjvv/8+CgoKki2WKn/6059w8eJF7NixA3/84x9RVVWF5557Dj/96U+TLZoqQ0NDWLp0KX784x8nWxRF9u7di5KSEjz44IN45513kJ2dje9+97v48MMPky2aIufOncPXvvY1PP3008kWRRMHDx7E2rVrceTIETQ3N2NkZAQ33ngjzp07l2zRVPH7/fi3f/s3vP3223j77bfxL//yL8jNzcUf//jHZIvGzVtvvYWdO3fimmuuSbYo1sFswhVXXMGqqqqSLYZuXnvtNXb11VezP/7xjwwAe+edd5Itkmb279/PHA4HGxoaSrYomtm8eTO78sorky0GNy+++CKbPHlyssWQ5X/8j//B7rrrrqj3rr76avbAAw8kSSLtAGBNTU3JFkMXH3/8MQPADh48mGxRdDFlyhS2a9euZIvBxaeffspmzpzJmpub2bx581hxcXGyRbIEW3kGxAZHX//61/H444/bwu0LAKdPn8add96Jf//3f7dtwaX+/n688soruOGGG2zVz1vk7NmzcLlcyRZjVDA0NITf//73uPHGG6Pev/HGG3Ho0KEkSZVenD17FgBs90wLgoC6ujqcO3cOc+bMSbY4XKxduxbf+973sHDhwmSLYimWlSM2m+Li4rh2yCdOnJBth5wqMMZwxx134K677sJ1112HkydPJlskTWzcuBFPP/00zp8/j9mzZ+OXv/xlskXSzPvvv4+nnnoK27ZtS7Yoo4Le3l4IgoCpU6dGvT916lR89NFHSZIqfWCMobS0FHPnzsVXvvKVZIvDxXvvvYc5c+bgr3/9KyZMmICmpibMmjUr2WKpUldXh//6r//CW2+9lWxRLCepnoHKysq4oMDY19tvvw0AWL9+PebNm4drrrkGq1evxnPPPYcXXngBfX19KS37U089hYGBAfzkJz9JipyxaJlzACgrK8M777yD119/HU6nEz/84Q/BklS0UqvsANDV1YXvfOc7WLp0KVavXm0bue2Aw+GI+jdjLO49wnzWrVuHP/zhD9izZ0+yReHmH//xH/Huu+/iyJEj+PGPf4zbb78dR48eTbZYipw6dQrFxcXYvXs3LrnkkmSLYzlJLUfc29uL3t5exWOysrIkv4jOzk74/X4cOXIE119/vVUiysIre2FhIX7xi19E/UgKggCn04mVK1fi5z//udWiRmFkzjs6OhAIBHDo0KGkuPi0yt7V1YX58+fj+uuvx0svvYSMjOTYvnrm/KWXXkJJSQk++eQTi6XTztDQEMaPH4+GhgYsWbIk/H5xcTHeffddHDx4MInS8eNwONDU1IRbbrkl2aJwc8899+DVV1/FG2+8gSuvvDLZ4uhm4cKFmD59Onbs2JFsUWR59dVXsWTJEjidzvB7giDA4XAgIyMDg4ODUZ/ZnaRuE9i5HTKv7E8++SQee+yx8L+7urpw0003Ye/evUkxYozMuWg3Dg4OmikSN1pk7+zsxPz58/HNb34TL774YtIMAcDYnKciY8eOxTe/+U00NzdHGQPNzc3Izc1NomSjF8YY7rnnHjQ1NaGtrc3WhgDw+f0k63eElwULFuC9996Leu9f//VfcfXVV2Pjxo2jyhAAbBIzYEY75GQRK9+ECRMAANOnT4ff70+GSFz87ne/w+9+9zvMnTsXU6ZMwV/+8hc8/PDDmD59esoH/nR1dSEnJwdf/vKXsXXrVvT09IQ/u/zyy5MomToffvgh+vv78eGHH0IQhHA9ihkzZoSfnVSgtLQUt912G6677jrMmTMHO3fuxIcffoi77ror2aIp8tlnn+H48ePhf584cQLvvvsuXC5XSv+WrF27FrW1tdi/fz8mTpwYjs2YPHkyLr300iRLp8xPf/pTfPe730UgEMCnn36Kuro6tLW14de//nWyRVNk4sSJcTEZX/ziF+F2u20Tq6GJpOUxaOD3v/89u/7669nkyZPZJZdcwv7xH/+RVVRUsHPnziVbNM2cOHHCFqmFf/jDH9j8+fOZy+Vi48aNY1lZWeyuu+5iHR0dyRZNlRdffJEBkHylOrfffruk3K2trckWLY6f/exn7IorrmBjx45l1157rS3S3FpbWyXn9/bbb0+2aIrIPc8vvvhiskVT5Uc/+lH4OfF6vWzBggXs9ddfT7ZYuhjNqYXUwpggCIIg0hxb1RkgCIIgCMJ8yBggCIIgiDSHjAGCIAiCSHPIGCAIgiCINIeMAYIgCIJIc8gYIAiCIIg0h4wBgiAIgkhzyBggCIIgiDSHjAGCIAiCSHPIGCAIgiCINIeMAYIgCIJIc/4/dRBgFejSCFAAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from random import uniform\n",
    "u = (-1,1)\n",
    "v = (1,1)\n",
    "def random_r():\n",
    "    return uniform(-3,3)\n",
    "def random_s():\n",
    "    return uniform(-1,1)\n",
    "possibilities = [add(scale(random_r(),u),scale(random_s(),v)) for i in range(0,500)]\n",
    "draw(\n",
    "    Points(*possibilities)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78995843",
   "metadata": {},
   "source": [
    "***练习2.20：用代数法证明为什么一个向量和其负向量具有相同的长度。\n",
    "提示：将向量坐标及其负向量坐标代入勾股定理的公式。***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3507c97",
   "metadata": {},
   "source": [
    "解：c = $\\sqrt{a^2 + b^2}$ =  $\\sqrt{(-a)^2 + (-b)^2}$ = $\\sqrt{(-a)(-a) + (-b)(-b)}$ = $\\sqrt{a^2 + b^2}$ = c "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5dfbc000",
   "metadata": {},
   "source": [
    "***练习2.21：在如图2-33所示的七个用箭头表示的向量中，哪两个是一对相反的向量？***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "911bcd52",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-5.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54d886ea",
   "metadata": {},
   "source": [
    "$v_3$ 和$v_7$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff13579c",
   "metadata": {},
   "source": [
    "***练习2.22：假定u是任意二维向量。u+(-u)的坐标是什么？***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc391150",
   "metadata": {},
   "source": [
    "解：设u=(a,b),u+(-u) = (a,b)+(-a,-b) = (a-a,b-b)=(0,0)=原点"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6cd77417",
   "metadata": {},
   "source": [
    "***练习 2.23：对于向量u=(-2,0)、v=(1.5,1.5)和w=(4,1)，v-w、u-v和w-u的结果分别是什么？***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f703078f",
   "metadata": {},
   "source": [
    "解：v-w = (1.5 , 1.5) - (4 , 1) = (-2.5 , 0.5). u-v = (-2 , 0) - (1.5 , 1.5) = (-3.5 , -1.5). w-u = (4,1)-(-2,0) = (6,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6582ff65",
   "metadata": {},
   "source": [
    "***练习2.24：实现Python函数subtract(v1,v2)，返回v1 - v2的结果。该函数接收两个二维向量作为输入，返回一个二维向量作为输出。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d559bb55",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-2.5, 0.5)\n"
     ]
    }
   ],
   "source": [
    "# 两个向量之间的差是位移\n",
    "def subtract(v1,v2):\n",
    "    return (v1[0]-v2[0] , v1[1]-v2[1])\n",
    "print(subtract((1.5 , 1.5) ,(4 , 1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a8f662d",
   "metadata": {},
   "source": [
    "***练习2.25：实现Python函数distance(v1,v2)，返回两个输入向量之间的距离。（注意：上一个练习中的subtract函数已经返回了两个向量之间的位移。）\n",
    "实现另一个Python函数perimeter(vectors)，它接收一个向量列表作为参数，并返回每个向量到下一个向量的距离之和（包含末位向量与首位向量之间的距离），以此来获取向量集合dino_vectors所定义的恐龙的周长。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "49535719",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5495097567963922\n",
      "4.0\n",
      "44.77115093694563\n"
     ]
    }
   ],
   "source": [
    "# 两个向量之间的差的长度就是距离，用勾股定理可以计算\n",
    "def distance(v1,v2):\n",
    "    return length(subtract(v1,v2))\n",
    "print(distance((1.5 , 1.5) ,(4 , 1)))\n",
    "\n",
    "def perimeter(vectors):\n",
    "    # %len(vectors) 是为了处理最后一个到第一个的向量之和\n",
    "    distances = [distance(vectors[i],vectors[(i+1)%len(vectors)])\n",
    "                 for i in range(0,len(vectors))]\n",
    "    return sum(distances)\n",
    "print(perimeter([(1,0),(1,1),(0,1),(0,0)]))\n",
    "print(perimeter(dino_vectors))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3734f779",
   "metadata": {},
   "source": [
    "***练习2.26（小项目）：令u为向量(1, -1)。假定有另一个正整数坐标为(n,m)（n>m）的向量v，且它与u的距离为13，那么从u到v的位移是多少？\n",
    "提示：可以使用Python，通过穷举的方式搜索向量v。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "bc98eba3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(13, 4)\n"
     ]
    }
   ],
   "source": [
    "u = (1,-1)\n",
    "for n in range(-12,15):\n",
    "    for m in range(-14,13):\n",
    "        if distance((n,m),u) == 13 and  n > m > 0:\n",
    "            print((n,m))"
   ]
  }
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